1. Using the two equations above, solve for y.4x+y=4 -2x-2y=12

Question

4x+y=4

-2x-2y=12

 

Answer 1

4x + y = 4                eq1

-2x - 2y = 12             eq2

 

 

We can use the substitution method.

 

Substitute eq1 into eq2.  We will have only one equation in terms of x.

 

-2x - 2(-4x + 4) = 12

 

Solve for x.

 

 

-2x + 8x - 8 = 12

 

6x - 8 = 12

 

6x = 20

 

  x = 3.33

 

 

Substitute this value of x into eq1 to solve for y.

 

y = -4(3.33) + 4

 

y = -9.32

 

 

Your solution is

 

x = 3.33

y = -9.32