The value of x in this system of equations is 1. 3x y = 9 y = - 4x 10 substitute the value of y in the first equation: combine like terms: apply the subtraction property of equality: apply the division property of equality: 3x (-4x 10) = 9 - x 10 = 9 - x = - 1 x = 1 what is the value of y?

We have two unknowns from the equation therefore, two equations are needed. These equations are:

3x + y = 9

y = - 4x + 10

To solve for y, we first substitute the second equation to the first one.

3x + - 4x + 10 = 9

x = 1

We substitute the value of x to either of the equations and solve for y.

y = - 4 (1) + 10

y = 6

Repeating the steps of the statement:

3x + y = 9

y = - 4x + 10

3x - 4x + 10 = 9

-x + 10 = 9

-x = 9-10

-x = - 1

x=1 (the same value given in the first sentence of the statement).

y = - 4x + 10 (second equation of the system)

y = - 4 (1) + 10 = - 4 + 10 = 6

Answer: y = 6