Solve the system of equations.
–x+6y=13
4x–10y=–10 (1 point)
To solve the system of equations, we can use the method of substitution or elimination.
Using substitution:
We can isolate x from the first equation by subtracting 6y from both sides:
-x + 6y = 13
-x = -6y + 13
x = 6y - 13
Now we substitute this expression for x into the second equation:
4x - 10y = -10
4(6y - 13) - 10y = -10
24y - 52 - 10y = -10
14y - 52 = -10
14y = 42
y = 3
Substituting this value of y back into the equation x = 6y - 13:
x = 6(3) - 13
x = 18 - 13
x = 5
Therefore, the solution to the system of equations is x = 5 and y = 3.