Question

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 3x - 4y = 40, we can solve for y:

3x - 4y = 40
-4y = -3x + 40
y = (3/4)x - 10

Now, we can substitute this expression for y into the second equation:

5x - 5((3/4)x - 10) = 55
5x - (15/4)x + 50 = 55
(20/4)x - (15/4)x + 50 = 55
(5/4)x + 50 = 55
(5/4)x = 5
x = (4/5)(5)
x = 4

Now that we have found the value of x, we can substitute it back into the expression for y:

y = (3/4)(4) - 10
y = 3 - 10
y = -7

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