Find the point of intersection of the lines with equations 4x + 2y = 12 and 3x + 9y = 39.
A) (5, -4)
B) (10, 1)
C) (1, 4)
D) (2, 2)

Question

Quizplus · Accepted Answer

To find the point of intersection, we need to solve for the values of x and y that satisfy both equations simultaneously. We can do this by using either substitution or elimination method. Here, we can use the elimination method by multiplying the first equation by -3 and the second equation by 4 to cancel out the x term:

-12x - 6y = -36
12x + 36y = 156
-------------------
30y = 120
y = 4

Now we can substitute y = 4 into any of the two equations to solve for x. Let's use the first one:

4x + 2(4) = 12
4x + 8 = 12
4x = 4
x = 1

Therefore, the point of intersection is (1, 4), which corresponds to choice C.

Find the Point of Intersection of the Lines with Equations