To solve the system of equations:
1) Multiply the first equation by 4 to get rid of the coefficient of x:
4(-x + 6y) = 4(13)
-4x + 24y = 52
2) Now we can rewrite the system of equations as:
-4x + 24y = 52
4x - 10y = -10
3) Add the two equations together to eliminate the variable x:
(-4x + 24y) + (4x - 10y) = 52 + (-10)
14y = 42
4) Divide both sides of the equation by 14 to solve for y:
y = 42/14
y = 3
5) Substitute the value of y back into one of the original equations to solve for x. Let's use the first equation:
-x + 6y = 13
-x + 6(3) = 13
-x + 18 = 13
-x = 13 - 18
-x = -5
6) Multiply both sides of the equation by -1 to solve for x:
x = -(-5)
x = 5
Therefore, the solution to the system of equations is x = 5 and y = 3.
Solve the system of equations.
- x + 6y = 13
4x - 10y = - 10 (1 point)
1 answer