Question

solve the system of the equation
5x+2y=14
x-6y=22

Answer 1

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

First, let's isolate one of the variables in one of the equations. We can do this by solving the second equation for x:
x = 22 + 6y

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

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

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