Solve the system of equations.%0D%0A8x−3y= −22%0D%0Ay=10+4x(1 point)

1 answer

To solve the system of equations, we can substitute the value of y from the second equation into the first equation:

8x - 3(10 + 4x) = -22

Simplifying the equation:

8x - 30 - 12x = -22

Combine like terms:

-4x - 30 = -22

Add 30 to both sides:

-4x = 8

Divide both sides by -4:

x = -2

Now substitute the value of x back into the second equation to find y:

y = 10 + 4(-2)
y = 10 - 8
y = 2

Therefore, the solution to the system of equations is x = -2 and y = 2.