67.5k views
3 votes
Solve this system of equations. Write the answer as an ordered pair.

-2x + 6y = 6

-7x + 8y = -5

1 Answer

6 votes
-2x + 6y = 6

6y - 6 = 2x

6(y-1) = 2x

(1/2) * 6(y-1) = 2x * (1/2)

x = 3(y-1)

------------

If, x = 3(y-1),

-7 * 3(y-1) + 8y = -5

-21 * (y-1) + 8y = -5

-21y + 21 + 8y = -5

21 + 5 = 21y - 8y

26 = 13y

y = 26/13

Therefore: y=2.

----------

If y=2,

x = 3(2-1) = 3

-----------

Answers:

x=3 and y=2.
User Cary Champlin
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories