How to solve two-step equations

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Math › How to solve two-step equations

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$\frac{2}{3}x=10$

Solve for .

$\frac{20}{3}$

$\frac{3}{20}$

Explanation

To solve $\frac{2}{3}x=10$ , we need to get rid of the fraction. To do that, we multiply both sides by the reciprocal of that fraction.

$\frac{3}{2}*\frac{2}{3}x=10*\frac{3}{2}$

$x=10*\frac{3}{2}$

From here, you can either plug that fraction into your calculator or solve in pieces.

$x=\frac{10*3}{2}$

$x=\frac{30}{2}$

$x=\frac{2}{3}*18$

Solve for .

Explanation

$x=\frac{2}{3}*18$

From here, you can either plug this into your calculator, or take the equation in pieces:

$x=\frac{2*18}{3}$

$x=\frac{36}{3}$

$\frac{2}{3}x=10$

Solve for .

$\frac{20}{3}$

$\frac{3}{20}$

Explanation

To solve $\frac{2}{3}x=10$ , we need to get rid of the fraction. To do that, we multiply both sides by the reciprocal of that fraction.

$\frac{3}{2}*\frac{2}{3}x=10*\frac{3}{2}$

$x=10*\frac{3}{2}$

From here, you can either plug that fraction into your calculator or solve in pieces.

$x=\frac{10*3}{2}$

$x=\frac{30}{2}$

$x=\frac{2}{3}*18$

Solve for .

Explanation

$x=\frac{2}{3}*18$

From here, you can either plug this into your calculator, or take the equation in pieces:

$x=\frac{2*18}{3}$

$x=\frac{36}{3}$

Solve the equation for . (Round to two decimal places).

$\small 1.22n+4=3.5$

$\small n=-0.41$

$\small n=0.41$

$\small n=6.15$

$\small n=-6.15$

Explanation

$\small 1.22n+4=3.5$

Subtract from both sides of the equation, and simplify.

$\small 1.22n+4-4=3.5-4$

$\small \small 1.22n=-0.50$

Divide both sides by . Be careful of the negative sign.

$\small \frac{1.22n}{1.22}=-\frac{0.50}{1.22}$

$\small n=-0.41$

Solve the equation for . (Round to two decimal places).

$\small 1.22n+4=3.5$

$\small n=-0.41$

$\small n=0.41$

$\small n=6.15$

$\small n=-6.15$

Explanation

$\small 1.22n+4=3.5$

Subtract from both sides of the equation, and simplify.

$\small 1.22n+4-4=3.5-4$

$\small \small 1.22n=-0.50$

Divide both sides by . Be careful of the negative sign.

$\small \frac{1.22n}{1.22}=-\frac{0.50}{1.22}$

$\small n=-0.41$

Josie buys worth of groceries. The sales tax is . If she pays with , how much change should she get?

Explanation

The sales tax is $12.38\cdot 0.03875=0.479$

The total grocery bill is .

The change is .

Josie buys worth of groceries. The sales tax is . If she pays with , how much change should she get?

Explanation

The sales tax is $12.38\cdot 0.03875=0.479$

The total grocery bill is .

The change is .

Solve for .

Explanation

Perform the same operation on both sides of the equation.

Add 3 to both sides.

Divide both sides by 4 and simplify the fraction.

$\frac{4x}{4}=\frac{16}{4}$

A glass jar is filled to the top with 100 blue marbles, 75 red marbles, and 25 yellow marbles. Each time a marbles is picked from the jar, it must be returned to the jar before another marble is picked again. What is the probability of picking a red marble?

Explanation

First, find the total number of marbles in the glass jar: marbles in total.

It is given that there are 75 red marbles, thus: .

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