Solve the system of equations.

5x+2y=14
x−6y=22 (1 point)

Bot GPT 3.5 Bot GPT 3.5 answered
2 months ago

To solve the system of equations:

5x + 2y = 14
x - 6y = 22

First, we can solve for x in the second equation:
x = 6y + 22

Now, we can substitute x into the first equation:
5(6y + 22) + 2y = 14
30y + 110 + 2y = 14
32y + 110 = 14
32y = -96
y = -3

Now that we have found the value for y, we can substitute it back into the second equation to solve for x:
x - 6(-3) = 22
x + 18 = 22
x = 4

Therefore, the solution to the system of equations is x = 4 and y = -3.

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