Question

🏆 #5.%0D%0AWhat is the solution to this system of equations?%0D%0A%0D%0A%0D%0A%0D%0A −3x+5y=21%0D%0A%0D%0A 6x−y=−15

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

Given equations:
-3x + 5y = 21  ....(1)
6x - y = -15  ....(2)

To eliminate y, we can multiply equation (2) by 5:
5(6x - y) = 5(-15)
30x - 5y = -75  ....(3)

Now, we can add equation (1) and equation (3) to eliminate y:
-3x + 5y + 30x - 5y = 21 - 75
27x = -54
x = -2

Now, substitute x = -2 back into equation (2) to find the value of y:
6*(-2) - y = -15
-12 - y = -15
-y = -15 + 12
-y = -3
y = 3

Therefore, the solution to the system of equations is x = -2 and y = 3.