solve the system of equations
-x+6y=13
4x-10y=-10
To solve this system of equations, we can use the method of elimination.
First, we multiply the first equation by 4 to eliminate x when adding the two equations together:
-4x + 24y = 52
4x - 10y = -10
Adding these two equations together, we get:
14y = 42
y = 42/14
y = 3
Now that we have the value of y, we can substitute it back into one of the original equations to find the value of x. Using 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.