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How does 1 do this?

 

Use substitution to solve each system of equations.

 

1.)           y=x+5

               3x+y=25

 May 4, 2016
 #1
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Solve the following system:
{y = x+5
3 x+y = 25

Substitute y = x+5 into the second equation:
{y = x+5
4 x+5 = 25

In the second equation, look to solve for x:
{y = x+5
4 x+5 = 25

Subtract 5 from both sides:
{y = x+5
4 x = 20

Divide both sides by 4:
{y = x+5
x = 5

Substitute x = 5 into the first equation:
{y = 10
x = 5

Collect results in alphabetical order:
Answer: | x = 5                         y = 10

 May 4, 2016

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