Question

What is the value of x in the solution to this system of equations?

5x - 5y = 120
y=-7x+8
O-20
20
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Å

Answer 1

The value of x in the solution to this system of equations is 4.

Step-by-step explanation:

To find the value of x in the solution to this system of equations, we need to solve the system of equations by substitution or elimination. Let's use the substitution method:

First, we can substitute the value of y from the second equation into the first equation:

5x - 5(-7x + 8) = 120

Simplifying this equation gives us:

5x + 35x - 40 = 120

Combining like terms:

40x - 40 = 120

Adding 40 to both sides:

40x = 160

Dividing both sides by 40:

x = 4

Therefore, the value of x in the solution to this system of equations is 4.