149k views
0 votes
Which equation has no solution?

A.
-4(y + 7) = 2(-2y − 9) − 10
B.
-2(2y + 8) = 4y + 5 + y
C.
4(y + 9) = -4(y − 9)
D.
3y + 5 − 7y = 4(-y + 1) + 5

User Feliks
by
7.9k points

2 Answers

1 vote

Answer:

D. 3y + 5 − 7y = 4(-y + 1) + 5

Explanation:

User PropellerHead
by
8.1k points
7 votes

Answer: D. 3y + 5 − 7y = 4(-y + 1) + 5

Explanation:

Original equation:

3y + 5 - 7y = 4(-y+1) + 5

Group like terms on the left of the equal sign and distribute on the right side of equal sign:

-4y + 5 = (-4y +4) + 5

Simplify:

-4y + 5 = -4y +9

Subtract 5 from both sides:

-4y = -4y + 4

Add 4y to both sides:

0 = 4

0 CANNOT equal 4 therefore, this equation has no solution.

User AllmanTool
by
7.1k points

No related questions found

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