Solve the system of equations 5x+2y=14 and x-6y=22

Answer 1

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

From the second equation, we can solve for x:
x - 6y = 22
x = 22 + 6y

Substitute this expression for x in the first equation:
5x + 2y = 14
5(22 + 6y) + 2y = 14
110 + 30y + 2y = 14
32y = -96
y = -96/32
y = -3

Now substitute the value of y back into x = 22 + 6y:
x = 22 + 6(-3)
x = 22 - 18
x = 4

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