solve the system of equations: -x+6y=13 , 4x-10y=-10
First, we will solve the first equation for x:
-x + 6y = 13
x = 6y + 13
Next, we will substitute x into the second equation and solve for y:
4(6y + 13) - 10y = -10
24y + 52 - 10y = -10
14y + 52 = -10
14y = -62
y = -62/14
y = -31/7
Now that we have found y, we can substitute it back into the first equation to solve for x:
x = 6(-31/7) + 13
x = -186/7 + 91/7
x = -95/7
Therefore, the solution to the system of equations is x = -95/7 and y = -31/7.