Question

Find the solution to this system of equations and write it as an ordered

pair (x, y) *
3x + 3y = -18
2x - 4y= -6

Answer 1

Explanation:

Simplifying

3x + 3y = -18

Solving

3x + 3y = -18

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 = -18 + -3y

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

3x + 0 = -18 + -3y

3x = -18 + -3y

Divide each side by '3'.

x = -6 + -1y

Simplifying

x = -6 + -1y

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Simplifying

2x + -4y = -6

Solving

2x + -4y = -6

Solving for variable 'x'.

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

Add '4y' to each side of the equation.

2x + -4y + 4y = -6 + 4y

Combine like terms: -4y + 4y = 0

2x + 0 = -6 + 4y

2x = -6 + 4y

Divide each side by '2'.

x = -3 + 2y

Simplifying

x = -3 + 2y