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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.