Answer:
See answers below with explanations
Step-by-step explanation:
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<u>Problem 1:</u>
One number is 10 less than twice another.
This translates to n=2m-10
Their difference is 31
This translates to n-m=31
n-m=31
(2m-10)-m=31
m-10=31
m=41
n-41=31
n=72
Therefore the larger number is (B) 72
<u>Problem 2:</u>
Use elimination:
2x + y = 7
<u>- 2x -3y = -1</u>
4y = 8
y = 2
2x+2=7
2x=5
x=2.5
Therefore the solution is (A) {(2.5,2)}
<u>Problem 3:</u>
Use elimination:
x - y = 1
<u>- x + y = -1</u>
-2y = 2
Check if each answer eliminates to -2y=2:
2x - 3y = 6
<u>4x + y = 4</u>
-2x - 4y = 2 NO
4x - 3y = 6
<u>4x - y = -4</u>
-2y = 10 NO
4x + 3y = -6
<u>4x - y = 4</u>
4y = -10 NO
Neither answer is correct
<u>Problem 4:</u>
No visible items to match
<u>Problem 5:</u>
2(2x - y = -2)
4x - 2y = -4
x + 5y = 3
<u>4x - 2y = -4</u>
5x + 3y = -1
None of the answer choices are correct