12х + 9y = 18
-4x-3y=32
Substitution
To solve the system of equations using the substitution method, follow these steps:
1. Solve one equation for one variable in terms of the other variable. Let's solve the first equation for x:
12x + 9y = 18
Subtract 9y from both sides:
12x = 18 - 9y
Divide both sides by 12:
x = (18 - 9y)/12
2. Substitute this expression for x into the other equation. Let's substitute x in the second equation:
-4x - 3y = 32
-4[(18 - 9y)/12] - 3y = 32
Multiply -4 by each term inside the parentheses:
(-72 + 36y)/12 - 3y = 32
Simplify the left side by combining like terms:
-6 + 3y - 3y = 32
-6 = 32
Since the equation -6 = 32 is not true, there is no solution to this system of equations.