Answer:
Explanation:
Elimination is a method of solving a system of equations by adding or subtracting the equations from each other to eliminate one of the variables.
In this case, we will be using elimination to solve the system of equations:
-3x + 12y = 9
x - 4y = -3
Step 1: Multiply the first equation by -1.
(Multiplying by -1 switches the sign of every number in the equation)
3x - 12y = -9
Step 2: Add the two equations together.
3x - 12y = -9
+x - 4y = -3
______________
4x - 16y = -12
Step 3: Isolate the y-variable by adding 16y to both sides of the equation.
4x - 16y = -12
+16y +16y
______________
4x = -12 + 16y
Step 4: Divide both sides of the equation by 4 to isolate the y-variable.
4x = -12 + 16y
4/4 4/4
______________
x = -3 + 4y
Therefore, the solution to the system of equations is x = -3 + 4y.