Find the point of intersection of the lines with equations x + 4y = 11 and 2x + 5y = 16.
A) (2, 3)
B) (3, 2)
C) (6, 0)
D) (-2, 3)

Question

Quizplus · Accepted Answer

To find the point of intersection, we can solve the system of equations using either substitution or elimination method. Here, we will use elimination method. Multiplying the first equation by 2, we get:

2x + 8y = 22

Now, we can subtract the second equation from this equation to eliminate x:

2x + 8y - (2x + 5y) = 22 - 16
3y = 6
y = 2

Substituting y = 2 into either of the original equations, we get:

x + 4(2) = 11
x + 8 = 11
x = 3

Therefore, the point of intersection is (3, 2), which is answer choice B.

Find the Point of Intersection of the Lines with Equations