Solve the system of equations. -x+6y=13. 4x-10y=-10
To solve this system of equations, we will use the method of elimination.
First, let's multiply the first equation by 4 and the second equation by -1 to eliminate the variable x:
-4x + 24y = 52
-4x + 10y = 10
Now, we can subtract the second equation from the first equation:
(24y - 10y) = (52 - 10)
14y = 42
Divide both sides of the equation by 14 to isolate y:
y = 3
Now, substitute this value back into one of the original equations. Let's use the first equation:
-x + 6(3) = 13
-x + 18 = 13
-x = 13 - 18
-x = -5
Multiply by -1 to isolate x:
x = 5
Therefore, the solution to the system of equations is x = 5 and y = 3.