Question

What is the result of adding these two equations? 6 x + 2 y = − 2 3 x − 2 y = − 5 6x+2y 3x−2y ​ =−2 =−5 ​

Answer 1

The result gives the equation: 9x = -7

solution: (-7/9, 4/3)

Explanation:

6 x + 2y = − 2

and

3 x − 2y = − 5

add together

6x + 3x + 2y - 2y = -2 + -5

9x + 0 = -7

9x = -7

then x = -7/9

and y = -3x - 1:

y = -3*(-7/9) - 1

y = 7/3 - 1 = 4/3

solution: (-7/9, 4/3)

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6x+2y= -2 and 3x−2y ​ =−5 ​

6x + 3x + 2y - 2y = -2 + -5