Which of the choices below constitutes a simultaneous solution to these equations? (1)3x + 4y = 10 and (2)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

Quizplus · Accepted Answer

To solve for a simultaneous solution, we need to find the values of x and y that satisfy both equations. We can do this by using elimination or substitution. Using elimination, we can subtract equation (1) from equation (2) to eliminate y:
(5x + 4y = 14) - (3x + 4y = 10)
2x = 4
x = 2
Substituting x = 2 into equation (1), we can solve for y:
3(2) + 4y = 10
6 + 4y = 10
4y = 4
y = 1
Therefore, the simultaneous solution is x = 2, y = 1, which corresponds to choice (C).

Which of the Choices Below Constitutes a Simultaneous Solution to These