Which of the following choices constitutes a simultaneous solution to these equations?
3x+4y=10
5x+4y=14
A) x = 2, y = .5
B) x = 4, y = -.5
C) x = 2, y = 1
D) x = y
E) y = 2x

Question

Which of the following choices constitutes a simultaneous solution to these equations? 
3x+4y=10
5x+4y=14 
A) x = 2, y = .5
B) x = 4, y = -.5
C) x = 2, y = 1
D) x = y
E) y = 2x

Quizplus · Accepted Answer

To find the simultaneous solution, we need to find the values of x and y that satisfy both equations. We can use elimination method to solve this system of equations.

Multiplying the first equation by -5 and the second equation by 3, we get:

-15x - 20y = -50 
15x + 12y = 42

Adding these two equations, we get:

-8y = -8

Dividing both sides by -8, we get:

y = 1

Substituting y = 1 in one of the equations, we get:

3x + 4(1) = 10

Simplifying this equation, we get:

3x = 6

Dividing both sides by 3, we get:

x = 2

Therefore, the simultaneous solution is x = 2 and y = 1.

Option C is the only one that satisfies both equations.

Which of the Following Choices Constitutes a Simultaneous Solution to These