Use Graph Points to Approximate Solutions: CCSS.Math.Content.HSA-REI.D.11 - Algebra

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Question

Where do the following equations intersect?

Answer

To figure out where these equations intersect, we need to set them equal to each other and solve for $\uptext{x}.$

Subtract from both sides:

Add to both sides:

Divide both sides by $89\textup:$

$x = - \frac{40}{89}$

Now plug this $\uptext{x}$ value into one of the equations to solve for the $\uptext{y}$ value.

$y = 49 \cdot - \frac{40}{89} + 17$

Multiply $\frac{49}{1}$ by $-\frac{40}{89}\textup:$

$y = - \frac{1960}{89} + 17$

Make fractions with common denominators:

$\frac{17}{1}=\frac{1513}{89}$

Add fractions:

$y = - \frac{1960}{89} + \frac{1513}{89}$

$y = - \frac{447}{89}$

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Question

Where do the following equations intersect?

Answer

To figure out where these equations intersect, we need to set them equal to each other and solve for $\uptext{x}$ .

$x = \frac{23}{88}$

Now we simply plug this $\uptext{x}$ value into one of the equations to get the $\uptext{y}$ value.

$y = -45 \cdot \frac{23}{88} + 19$

$y = - \frac{1035}{88} + 19$

$y = \frac{637}{88}$

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Question

Where do the following equations intersect?

Answer

To figure out where these equations intersect, we need to set them equal to each other and solve for $\uptext{x}.$

$x = \frac{17}{22}$

Now we simply plug this $\uptext{x}$ value into one of the equations to get the $\uptext{y}$ value.

$y = 22 \cdot \frac{17}{22} -47$

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Question

Where do the following equations intersect?

Answer

To figure out where these equations intersect, we need to set them equal to each other and solve for $\uptext{x}$ .

Now we subtract from each side.

Now we add to each side.

Now we divide by on each side.

$x = \frac{4}{13}$

Now we simply plug this $\uptext{x}$ value into one of the equations to get the $\uptext{y}$ value.

$y = 16 \cdot \frac{4}{13} + 22$

$y = \frac{64}{13} + 22$

$y = \frac{350}{13}$

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Question

Where do the following equations intersect?

Answer

To figure out where these equations intersect, we need to set them equal to each other and solve for $\uptext{x}$ .

Now we add to each side.

Now we subtract from each side.

Now we divide by on each side.

$x = - \frac{17}{27}$

Now we simply plug this $\uptext{x}$ value into one of the equations to get the $\uptext{y}$ value.

$y = -23 \cdot - \frac{17}{27} -30$

$y = \frac{391}{27} -30$

$y = - \frac{419}{27}$

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Question

Where do the following equations intersect?

Answer

To figure out where these equations intersect, we need to set them equal to each other and solve for $\uptext{x}$ .

Now we add to each side.

Now we divide by on each side.

$x = \frac{62}{3}$

Now we simply plug this $\uptext{x}$ value into one of the equations to get the $\uptext{y}$ value.

$y = 3 \cdot \frac{62}{3} -20$

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Question

Where do the following equations intersect?

Answer

To figure out where these equations intersect, we need to set them equal to each other and solve for $\uptext{x}$ .

Now we subtract from each side.

Now we subtract from each side.

Now we divide by on each side.

$x = \frac{55}{16}$

Now we simply plug this $\uptext{x}$ value into one of the equations to get the $\uptext{y}$ value.

$y = -4 \cdot \frac{55}{16} + 20$

$y = - \frac{55}{4} + 20$

$y = \frac{25}{4}$

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Question

Where do the following equations intersect?

Answer

To figure out where these equations intersect, we need to set them equal to each other and solve for $\uptext{x}$ .

Now we add to each side.

Now we add to each side.

Now we divide by on each side.

$x = - \frac{13}{28}$

Now we simply plug this $\uptext{x}$ value into one of the equations to get the $\uptext{y}$ value.

$y = -29 \cdot - \frac{13}{28} -22$

$y = \frac{377}{28} -22$

$y = - \frac{239}{28}$

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Question

Where do the following equations intersect?

Answer

To figure out where these equations intersect, we need to set them equal to each other and solve for $\uptext{x}$ .

Now we subtract from each side.

Now we add to each side.

Now we divide by on each side.

$x = \frac{3}{70}$

Now we simply plug this $\uptext{x}$ value into one of the equations to get the $\uptext{y}$ value.

$y = 29 \cdot \frac{3}{70} + 30$

$y = \frac{87}{70} + 30$

$y = \frac{2187}{70}$

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Question

Where do the following equations intersect?

Answer

To figure out where these equations intersect, we need to set them equal to each other and solve for $\uptext{x}$ .

Now we add to each side.

Now we add to each side.

Now we divide by on each side.

$x = \frac{29}{80}$

Now we simply plug this $\uptext{x}$ value into one of the equations to get the $\uptext{y}$ value.

$y = 42 \cdot \frac{29}{80} -2$

$y = \frac{609}{40} -2$

$y = \frac{529}{40}$

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Question

Where do the following equations intersect?

Answer

To figure out where these equations intersect, we need to set them equal to each other and solve for $\uptext{x}$ .

Now we subtract from each side.

Now we subtract from each side.

Now we divide by on each side.

Now we simply plug this $\uptext{x}$ value into one of the equations to get the $\uptext{y}$ value.

$y = -10 \cdot 2 + 41$

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Question

Where do the following equations intersect?

Answer

To figure out where these equations intersect, we need to set them equal to each other and solve for $\uptext{x}$ .

Now we add to each side.

Now we add to each side.

Now we divide by on each side.

$x = \frac{21}{19}$

Now we simply plug this $\uptext{x}$ value into one of the equations to get the $\uptext{y}$ value.

$y = -4 \cdot \frac{21}{19} -12$

$y = - \frac{84}{19} -12$

$y = - \frac{312}{19}$

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Question

Where do the following equations intersect?

Answer

To figure out where these equations intersect, we need to set them equal to each other and solve for $\uptext{x}$ .

Now we subtract from each side.

Now we add to each side.

Now we divide by on each side.

$x = \frac{10}{21}$

Now we simply plug this $\uptext{x}$ value into one of the equations to get the $\uptext{y}$ value.

$y = 41 \cdot \frac{10}{21} + 7$

$y = \frac{410}{21} + 7$

$y = \frac{557}{21}$

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Question

Where do the following equations intersect?

Answer

To figure out where these equations intersect, we need to set them equal to each other and solve for $\uptext{x}$ .

Now we add to each side.

Now we subtract from each side.

Now we divide by on each side.

$x = - \frac{3}{35}$

Now we simply plug this $\uptext{x}$ value into one of the equations to get the $\uptext{y}$ value.

$y = -43 \cdot - \frac{3}{35} -14$

$y = \frac{129}{35} -14$

$y = - \frac{361}{35}$

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Question

Where do the following equations intersect?

Answer

To figure out where these equations intersect, we need to set them equal to each other and solve for $\uptext{x}$ .

Now we add to each side.

Now we add to each side.

Now we divide by on each side.

Now we simply plug this $\uptext{x}$ value into one of the equations to get the $\uptext{y}$ value.

$y = -8 \cdot -69 -43$

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Question

Where do the following equations intersect?

Answer

To figure out where these equations intersect, we need to set them equal to each other and solve for $\uptext{x}.$

Subtract from both sides:

Add to both sides:

Divide both sides by $89\textup:$

$x = - \frac{40}{89}$

Now plug this $\uptext{x}$ value into one of the equations to solve for the $\uptext{y}$ value.

$y = 49 \cdot - \frac{40}{89} + 17$

Multiply $\frac{49}{1}$ by $-\frac{40}{89}\textup:$

$y = - \frac{1960}{89} + 17$

Make fractions with common denominators:

$\frac{17}{1}=\frac{1513}{89}$

Add fractions:

$y = - \frac{1960}{89} + \frac{1513}{89}$

$y = - \frac{447}{89}$

Compare your answer with the correct one above

Question

Where do the following equations intersect?

Answer

To figure out where these equations intersect, we need to set them equal to each other and solve for $\uptext{x}$ .

$x = \frac{23}{88}$

Now we simply plug this $\uptext{x}$ value into one of the equations to get the $\uptext{y}$ value.

$y = -45 \cdot \frac{23}{88} + 19$

$y = - \frac{1035}{88} + 19$

$y = \frac{637}{88}$

Compare your answer with the correct one above

Question

Where do the following equations intersect?

Answer

To figure out where these equations intersect, we need to set them equal to each other and solve for $\uptext{x}.$

$x = \frac{17}{22}$

Now we simply plug this $\uptext{x}$ value into one of the equations to get the $\uptext{y}$ value.

$y = 22 \cdot \frac{17}{22} -47$

Compare your answer with the correct one above

Question

Where do the following equations intersect?

Answer

To figure out where these equations intersect, we need to set them equal to each other and solve for $\uptext{x}$ .

Now we subtract from each side.

Now we add to each side.

Now we divide by on each side.

$x = \frac{4}{13}$

Now we simply plug this $\uptext{x}$ value into one of the equations to get the $\uptext{y}$ value.

$y = 16 \cdot \frac{4}{13} + 22$

$y = \frac{64}{13} + 22$

$y = \frac{350}{13}$

Compare your answer with the correct one above

Question

Where do the following equations intersect?

Answer

To figure out where these equations intersect, we need to set them equal to each other and solve for $\uptext{x}$ .

Now we add to each side.

Now we subtract from each side.

Now we divide by on each side.

$x = - \frac{17}{27}$

Now we simply plug this $\uptext{x}$ value into one of the equations to get the $\uptext{y}$ value.

$y = -23 \cdot - \frac{17}{27} -30$

$y = \frac{391}{27} -30$

$y = - \frac{419}{27}$

Compare your answer with the correct one above

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