# Common Core: High School - Algebra : Solve System of Equations Using Substitution: CCSS.Math.Content.HSA-REI.C.5

## Example Questions

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### Example Question #1 : Solve System Of Equations Using Substitution: Ccss.Math.Content.Hsa Rei.C.5

Explanation:

The first step to do is solve for a variable. Let's solve for  first.

Now we subtract  from each side.

Now we divide by

Now since we found , we can plug this into the other equation and find .

Now we solve for .

Now we divide by .

Now round to the nearest hundredth.

Now since we have a value for , we plug this into the first equation and find .

Now we subtract  from each side.

Now we divide by

Now round to the nearest hundredth.

### Example Question #1 : Solve System Of Equations Using Substitution: Ccss.Math.Content.Hsa Rei.C.5

Explanation:

The first step to do is solve for a variable. Let's solve for  first.

Now we subtract  from each side.

Now we divide by

Now since we found , we can plug this into the other equation and find .

Now we solve for .

Now we divide by

Now round to the nearest hundredth.

Now since we have a value for , we plug this into the first equation and find .

Now we add  to each side.

Now we divide by

Now round to the nearest hundredth.

### Example Question #3 : Solve System Of Equations Using Substitution: Ccss.Math.Content.Hsa Rei.C.5

Explanation:

The first step to do is solve for a variable. Let's solve for  first.

Now we subtract  from each side.

Now we divide by

Now since we found , we can plug this into the other equation and find .

Now we solve for .

Now we divide by .

Now round to the nearest hundredth.

Now since we have a value for , we plug this into the first equation and find .

Now we add  to each side.

Now we divide by

Now round to the nearest hundredth.

### Example Question #4 : Solve System Of Equations Using Substitution: Ccss.Math.Content.Hsa Rei.C.5

Explanation:

The first step to do is solve for a variable. Let's solve for  first.

Now we subtract  from each side.

Now we divide by

Now since we found , we can plug this into the other equation and find .

Now we solve for .

Now we divide by  .

Now round to the nearest hundredth.

Now since we have a value for , we plug this into the first equation and find .

Now we subtract  from each side.

Now we divide by

Now round to the nearest hundredth.

### Example Question #5 : Solve System Of Equations Using Substitution: Ccss.Math.Content.Hsa Rei.C.5

Explanation:

The first step to do is solve for a variable. Let's solve for  first.

Now we subtract  from each side.

Now we divide by

Now since we found , we can plug this into the other equation and find .

Now we solve for .

Now we divide by .

Now round to the nearest hundredth.

Now since we have a value for , we plug this into the first equation and find .

Now we add  on each side.

Now we divide by

Now round to the nearest hundredth.

### Example Question #6 : Solve System Of Equations Using Substitution: Ccss.Math.Content.Hsa Rei.C.5

Explanation:

The first step to do is solve for a variable. Let's solve for  first.

Now we subtract  from each side.

Now we divide by

Now since we found , we can plug this into the other equation and find .

Now we solve for .

Now we divide by .

Now round to the nearest hundredth.

Now since we have a value for , we plug this into the first equation and find .

Now we add -17.8349082823791 to each side.

Now we divide by

Now round to the nearest hundredth.

### Example Question #7 : Solve System Of Equations Using Substitution: Ccss.Math.Content.Hsa Rei.C.5

Explanation:

The first step to do is solve for a variable. Let's solve for  first.

Now we subtract  from each side.

Now we divide by

Now since we found , we can plug this into the other equation and find .

Now we solve for .

Now we divide by  .

Now round to the nearest hundredth.

Now since we have a value for , we plug this into the first equation and find .

Now we add  to each side.

Now we divide by

Now round to the nearest hundredth.

### Example Question #71 : Reasoning With Equations & Inequalities

Explanation:

The first step to do is solve for a variable. Let's solve for  first.

Now we subtract  from each side.

Now we divide by

Now since we found , we can plug this into the other equation and find .

Now we solve for .

Now we divide by  .

Now round to the nearest hundredth.

Now since we have a value for , we plug this into the first equation and find .

Now we subtract  from each side.

Now we divide by

Now round to the nearest hundredth.

### Example Question #72 : Reasoning With Equations & Inequalities

Explanation:

The first step to do is solve for a variable. Let's solve for  first.

Now we subtract  from each side.

Now we divide by

Now since we found , we can plug this into the other equation and find .

Now we solve for .

Now we divide by .

Now round to the nearest hundredth.

Now since we have a value for , we plug this into the first equation and find .

Now we add  to each side.

Now we divide by

Now round to the nearest hundredth.

### Example Question #73 : Reasoning With Equations & Inequalities

Explanation:

The first step to do is solve for a variable. Let's solve for  first.

Now we subtract  from each side.

Now we divide by

Now since we found , we can plug this into the other equation and find .

Now we solve for .

Now we divide by .

Now round to the nearest hundredth.

Now since we have a value for , we plug this into the first equation and find .

Now we subtract  from each side.

Now we divide by

Now round to the nearest hundredth.

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