Question

Find the solution of the system of equations.

minus, 4, x, plus, 5, y, equals, 13
−4x+5y=
13
x, minus, 5, y, equals, minus, 22
x−5y=
−22

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the solution of the system of equations, we can use the method of substitution or elimination.

Using substitution:
From the second equation, we can solve for x in terms of y:
x - 5y = -22
x = -22 + 5y

Substituting this expression for x in the first equation:
-4x + 5y = 13
-4(-22 + 5y) + 5y = 13
88 - 20y + 5y = 13
-15y = 13 - 88
-15y = -75
y = -75 / -15
y = 5

Substituting the value of y back into the second equation:
x - 5(5) = -22
x - 25 = -22
x = -22 + 25
x = 3

So, the solution to the system of equations is x = 3 and y = 5.