Solve the system of equations.

Question

–x+6y=13

4x–10y=–10

Answer 1

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

From the first equation -x + 6y = 13, we can isolate x:
x = 6y - 13

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

Now, substitute y back into the first equation -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.