Solve the system equations -4x+6y=38 and x-5y=-20
To solve this system of equations, we can use the method of substitution or elimination.
Let's use the method of substitution to solve this system:
1. Solve the second equation for x in terms of y:
x = 5y - 20
2. Substitute this expression for x into the first equation and solve for y:
-4(5y - 20) + 6y = 38
-20y + 80 + 6y = 38
-14y + 80 = 38
-14y = -42
y = 3
3. Now that we have found the value of y, we can substitute it back into one of the original equations to solve for x:
x - 5(3) = -20
x - 15 = -20
x = -5
Therefore, the solution to the system of equations is x = -5 and y = 3.