Examine the system of equations.

y = - 3x - 2,

y = 7

The value of x is.

The solution to this system of equations is.

x = - 3

(-3,7)

Step-by-step explanation:

y = - 3x - 2,

y = 7

We know the value of y, y=7

Substitute into the first equation

7 = - 3x - 2

Add 2 to each side

7+2 = - 3x - 2+2

9 = - 3x

Divide each side by - 3

9/-3 = - 3x/-3

-3 = x

(x, y) = (-7, 7)

Step-by-step explanation:

y = 7

-3 - 2x = 7

Substitute the given value of y into the equation

- 3x - 2 x 7 = 7

Solve for the equation for x

x = - 7

The possible solution of the system is the ordered pair (x, y)

(x, y) = (-7, 7)

Check if the given ordered pair is the solution of the system of equations

7 = - 3x (-7) - 2 x 7 = 7

= 7 = 7 = 7