Consider the system of linear equations below.

-3x + 4y + 24

6x + 2 y+-18

Determine how to rewrite one of the two equations above in the form ax + by = c, where a, b, and c are constants, so that the sum of the new equation and the unchanged equation from the original system results in an equation of one variable.

Question

Mathematics

Darius

Today, 01:26

Consider the system of linear equations below.

-3x + 4y + 24

6x + 2 y+-18

Determine how to rewrite one of the two equations above in the form ax + by = c, where a, b, and c are constants, so that the sum of the new equation and the unchanged equation from the original system results in an equation of one variable.

+3

Answers (1)

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Viviana Steele · Answer 1

6x + 2y - 18

-3x + 4y + 24

6x + 2y = 18

-3x + 4y = 24 (multiply both sides by 2)

6x + 2y = 18

-6x + 8y = 48

Add them together, and you get:

10y=66