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4 votes
Solve the system. 3x - 2y = 12 and 3x - 3y = -2

User Boggin
by
6.4k points

1 Answer

4 votes

Answer:

x = 4 + -0.6666666667y

x = 1 + y

Explanation:

Simplifying

3x + 2y = 12

Solving

3x + 2y = 12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

3x + 2y + -2y = 12 + -2y

Combine like terms: 2y + -2y = 0

3x + 0 = 12 + -2y

3x = 12 + -2y

Divide each side by '3'.

x = 4 + -0.6666666667y

Simplifying

x = 4 + -0.6666666667y

Simplifying

3x + -3y = 3

Solving

3x + -3y = 3

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3y' to each side of the equation.

3x + -3y + 3y = 3 + 3y

Combine like terms: -3y + 3y = 0

3x + 0 = 3 + 3y

3x = 3 + 3y

Divide each side by '3'.

x = 1 + y

Simplifying

x = 1 + y

User Mvanle
by
6.7k points
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