Which of the choices below constitutes a simultaneous solution to these equations? (1)3x + 2y = 6 and (2)6x + 3y = 12
A)x = 1,y = 1.5
B)x = .5,y = 2
C)x = 0,y = 3
D)x = 2,y = 0
E)x = 0,y = 0

Question

Quizplus · Accepted Answer

To find the simultaneous solution, we need to find the values of x and y that satisfy both equations simultaneously. We can use the method of elimination by multiplying the first equation by 2 and subtracting it from the second equation, which gives us:

6x + 3y = 12
- (6x + 4y = 12)
-----------------
-y = 0

Simplifying further, we get y = 0. Substituting this value of y in either of the original equations gives us:

3x + 2(0) = 6
3x = 6
x = 2

Thus, the solution is (x,y) = (2,0), which corresponds to choice D.

Which of the Choices Below Constitutes a Simultaneous Solution to These