Question

Solve using elimination. 5x + 7y = -6 4x + 7y = -9

Answer 1

Answer:

Simplifying
5x + 7y = -6

Solving
5x + 7y = -6

Solving for variable 'x'.

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

Add '-7y' to each side of the equation.
5x + 7y + -7y = -6 + -7y

Combine like terms: 7y + -7y = 0
5x + 0 = -6 + -7y
5x = -6 + -7y

Divide each side by '5'.
x = -1.2 + -1.4y

Simplifying
x = -1.2 + -1.4y
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Simplifying
4x + 7y = -9

Solving
4x + 7y = -9

Solving for variable 'x'.

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

Add '-7y' to each side of the equation.
4x + 7y + -7y = -9 + -7y

Combine like terms: 7y + -7y = 0
4x + 0 = -9 + -7y
4x = -9 + -7y

Divide each side by '4'.
x = -2.25 + -1.75y

Simplifying
x = -2.25 + -1.75y