Negative x + 6y = 13 4x - 10y = -10
To solve this system of equations, we can use the method of substitution or elimination. Let's use the substitution method.
From the first equation, we can solve for x:
x = 13 - 6y
Now, we substitute x into the second equation:
4(13 - 6y) - 10y = -10
52 - 24y - 10y = -10
52 - 34y = -10
-34y = -62
y = 62/34
y = 31/17
Now, substitute y back into the first equation to solve for x:
x = 13 - 6(31/17)
x = 13 - 186/17
x = (221 - 186) / 17
x = 35 / 17
So the solution to the system of equations is x = 35/17 and y = 31/17.