Question

X + y = 24

3x + 5y = 100
What does the solution of this system indicate about the questions on the test?

Answer 1

B. The test contains 10 three-point questions and 14 five-point questions.

Explanation:

Assuming that this is the one on edge, it should be this answer!

Answer 2

(10, 14)

Explanation:

To solve this system let's use substitution:

Solve the first equation for x, obtaining x = 24 - y, and then substitute 24 - y for x in the second equation:

3(24 - y) + 5y = 100

Performing the indicated multiplication, we get:

72 - 3y + 5y = 100

Combining like terms results in 72 - 100 = -2y, or -28 = -2y

Thus, y must be 14.

If y = 14, then the first equation tells us that x = 10.

Check: Is this true? 3(10) + 5(14) = 100 YES

The solution is (10, 14).

What was it about the questions on the best that you were supposed to compare to this solution?