Respuesta :

We have two equations and two unknowns.

y = 6x+7

3x - y = 2

Since the first equation is solved for y, we can substitute the right hand side in for y on the second equation

3x - y =2

3x - (6x+7) = 2

Distribute the minus sign outside of the parentheses

3x -6x -7 =2

Combine like terms

-3x -7 =2

Add 7 to each side

-3x-7+7 = 2+7

-3x = 9

Divide each side by -3

-3x/3 = 9/-3

x =-3

Now we need to find y

Substitute into the first equation

y = 6x+7

y = 6(-3) +7

=-18+7

=-11

The solution is (-3, -11)

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