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taurus [48]
4 years ago
12

Which statement about the pair of equations is true?

Mathematics
2 answers:
Alenkinab [10]4 years ago
5 0

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

NNADVOKAT [17]4 years ago
5 0

Answer:

C) The equation pair has exactly 1 solution.

Step-by-step 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

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