how to solve and check:4x+2y=-2y=6x-5

Question

Step by step in solving the problem

 

Answer 1

Equation 1:  4x + 2y = -2

Equation 2:  y = 6x - 5

 

Let's multiply equation 2 by 2:

 

2* y = 2*(6x-5)

2y = 12x - 10

 

Now let's substitute 12x - 10 in place of the 2y in Equation 1:

 

4x + 2y = -2               [Equation 1]

4x + (12x - 10) = -2    [Substituted 12x-10 in place of the 2y]

16x - 10 = -2              [Combined like terms]

16x = 8                      [Added 10 to both sides]

 

x = 1/2                      [Divided both sides by 16]

 

Now solve for y using equation 2:

 

y = 6x - 5

y = 6(1/2) - 5

y = 3 - 5

 

y = -2

 

Check:

4x+2y = -2

4(1/2)+2(-2) = -2

2-4 = -2

-2=-2     CHECK!