Question

Solve the system of equations
-x + 6y = 13
4x - 10y = -10

Answer 1

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

We will use the elimination method to solve this system of equations.

Given equations:
1) -x + 6y = 13
2) 4x - 10y = -10

Multiply the first equation by 4 to match the coefficients of x in both equations:
-4x + 24y = 52

Now, we can add this equation to the second equation:
-4x + 24y + 4x - 10y = 52 - 10
14y = 42
y = 42/14
y = 3

Now that we have found the value of y, we can substitute it back into the first equation to find the value of x:
-x + 6(3) = 13
-x + 18 = 13
-x = 13 - 18
-x = -5
x = 5

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