Solve the system of equations. 5x+2y=14 x−6y=22 (1 point)

Answer 1

To solve the system of equations 5x + 2y = 14 and x - 6y = 22, we can use the method of substitution.

From the second equation, we can express x in terms of y:
x = 22 + 6y

Substituting this into the first equation, we have:
5(22 + 6y) + 2y = 14
110 + 30y + 2y = 14
32y = -96
y = -3

Now we can substitute the value of y back into either of the two equations. Using the second equation:
x - 6(-3) = 22
x + 18 = 22
x = 4

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