187k views
4 votes
Which statement about the pair of equations is true?

x = -2y + 300
3y = 800 - 4x

A)
The equation pair has no solutions.
Eliminate

B)
The equation pair has many solutions.


C)
The equation pair has exactly 1 solution.


D)
The equation pair has exactly 2 solutions.

User Molivier
by
8.0k points

2 Answers

5 votes

Substitute x = -2y + 300 into 3y = 800 - 4x

3y = 8y - 400

Solve for y in 3y = 8y - 400

y = 80

Substitute y = 80 into x = -2y + 300

x = 140

Therefore,

x = 140

y = 80

Answer: D. The equation pair has exactly 2 solutions

User Vytas
by
8.1k points
1 vote

Answer:

C) The equation pair has exactly 1 solution.

Explanation:

Rewrite the pair of equations

x + 2y = 300

4x + 3y = 800

Multiply the first equation by 4.

4x + 8y = 1200

4x + 3y = 800

Subtract the second equation from the first: 5y = 400 → y = 80 

Putting this value back in the original equation, x = -160 + 300 = 140

The equation pair has exactly 1 solution, x = 140, y = 80

User Rubotero
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