solve the system of equations.

Question

-x + 6y = 13
4x - 10y = -10
(_,_)

Answer 1

Step 1: Multiply the first equation by 4 to make the coefficients of x the same in both equations:

-4x + 24y = 52
4x - 10y = -10

Step 2: Add the two equations together to eliminate x:

14y = 42
y = 3

Step 3: Substitute y = 3 into the first equation to solve for x:

-x + 6(3) = 13
-x + 18 = 13
-x = -5
x = 5

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