To solve this system of equations, we will use the method of substitution.
Step 1: Solve one of the equations for x or y in terms of the other variable. Let's solve the first equation for x in terms of y:
6x - 3y = -6
6x = 3y - 6
x = (3y - 6)/6
x = (y - 2)/2
Step 2: Substitute this expression for x into the second equation:
9((y - 2)/2) - 3y = -18
9(y - 2)/2 - 3y = -18
9y - 18 - 6y = -36
3y = 18
y = 6
Step 3: Substitute the value of y back into the expression for x:
x = (6 - 2)/2
x = 4/2
x = 2
So the solution to the system of equations is x = 2, y = 6.
Solve the system of equations
6X minus 3Y equals -6
9X minus 3Y equals -18
1 answer
1 answer