Solve the system of equations.

Question

–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 elimination method:

Multiply the first equation by 4 to get:
-4x + 24y = 52

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

Divide both sides by 14:
y = 3

Now, plug this value of y back into the first equation:
-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.