Question

Solve the system of equations.

3x−4y=40

5x−5y=55

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve this system of equations, we can use the method of substitution or elimination.

Let's use the method of substitution.

From the first equation, we can isolate x:
3x - 4y = 40
3x = 4y + 40
x = (4y + 40) / 3

Now substitute this expression for x into the second equation:

5((4y + 40) / 3) - 5y = 55
(20y + 200) / 3 - 5y = 55
20y + 200 - 15y = 165
5y + 200 = 165
5y = -35
y = -7

Now substitute y = -7 back into the first equation to solve for x:

3x - 4(-7) = 40
3x + 28 = 40
3x = 12
x = 4

Therefore, the solution to the system of equations is x = 4 and y = -7.