41.8k views
1 vote
X + 4y = -3 x + 7y = -12

User No Name QA
by
6.1k points

1 Answer

4 votes

Answer:

y = -3, x = 9

Explanation:

ISOLATE THE X

step 1) subtract 4y from both sides.

x + 4y - 4y = -3 - 4y

step 2) simplify

x = -3 - 4y

step 3) substitute x = -3 - 4y

-3 - 4y + 7y = -12

ISOLATE THE Y

step 4) Add similar elements: -4y + 7y = 3y

-3 - 4y + 7y = -12

step 5) Add 3 to both sides

-3 + 3y + 3 = -12 + 3

step 6) Simplify

3y = -9

step 7) Divide both sides by 3

3y/3 = -9/3

step 8) you now know y = -3

step 9) substitute y = -3 in for x = -3 - 4y

x = -3 - 4(-3)

step 10) negative times a negative equals a positive

x = -3 + 12

step 11) add -3 by 12 to get x = 9

step 12) you now have found the answer x = -3 and y = 9

User Mike Vine
by
6.4k points