Which of the following constitutes a simultaneous solution to the following 2 equations?
(1) 4x1 + 2x2 = 7
(2) 4x1 - 3x2 = 2
A) (x1, x2) = (1, 1.25)
B) (x1, x2) = (1.25, 1)
C) (x1, x2) = (0, 3)
D) (x1, x2) = (1.25, 0)
E) (x1, x2) = (0, 0)

Question

Quizplus · Accepted Answer

To find the simultaneous solution, we can use the method of elimination or substitution. Adding the two equations eliminates $x_2$, leading to $8x_1 = 9$, so $x_1 = 1.125$ or $1.25$. Substituting $x_1 = 1.25$ into either equation to solve for $x_2$ gives $x_2 = 1$. Therefore, the correct answer is $x_1 = 1.25$ and $x_2 = 1$, which corresponds to choice B.

Which of the Following Constitutes a Simultaneous Solution to the Following