Question

Solve the system of equations.
-x + 6y = 13
4x - 10y = - 10 (1 point)

Answer 1

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

Let's use the method of substitution.

First, isolate x in the first equation:
-x + 6y = 13
-x = 13 - 6y
x = -13 + 6y

Now, substitute x = -13 + 6y into the second equation:
4(-13 + 6y) - 10y = -10
-52 + 24y - 10y = -10
14y = 42
y = 3

Now that we have found the value of y, we can substitute it back into one of the original equations to solve for x:
-x + 6y = 13
-x + 6(3) = 13
-x + 18 = 13
-x = -5
x = 5

Therefore, the solution to the system of equations is x = 5 and y = 3.