Which of the following constitutes a simultaneous solution to the following 2 equations?
(1) 3x1 + 4x2 = 10
(2) 5x1 + 4x2 = 14
A) (x1, x2) = (2, 0.5)
B) (x1, x2) = (4, 0.5)
C) (x1, x2) = (2, 1)
D) x1 = x2
E) x2 = 2x1

Question

Quizplus · Accepted Answer

We can solve these equations simultaneously by subtracting equation (1) from equation (2) to get:

(2) - (1) : 2x1 = 4

Thus, x1 = 2. We can substitute this value of x1 into either equation (1) or (2) to solve for x2. If we use equation (1), we get:

3(2) + 4x2 = 10

Simplifying this equation gives:

4x2 = 4

Therefore, x2 = 1. Therefore, the simultaneous solution is (2, 1), which corresponds to choice C.

Which of the Following Constitutes a Simultaneous Solution to the Following