Solve the system of equations.%0D%0A5x+2y=14%0D%0Ax−6y=22(1 point)%0D%0A(, )

Answer 1

To solve the system of equations, we can use the method of substitution.

Since the second equation is already solved for x, we can substitute that expression into the first equation.

x - 6y = 22
x = 6y + 22

Now we can substitute this expression for x into the first equation:

5(6y + 22) + 2y = 14

Expand and simplify:

30y + 110 + 2y = 14
32y + 110 = 14
32y = 14 - 110
32y = -96
y = -96/32
y = -3

Now we can substitute this value of y back into the second equation to solve for x:

x - 6(-3) = 22
x + 18 = 22
x = 22 - 18
x = 4

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