Find the point of intersection of the lines with equations x + 3y = 18 and 2x + y = 11.
A) (3, 5)
B) (5, 3)
C) (2, 3)
D) (3, 2)

Question

Quizplus · Accepted Answer

Explanation:To find the point of intersection, we can solve the system of equations:x + 3y = 182x + y = 11Solving the first equation for x, we get:x = 18 - 3ySubstituting this into the second equation, we get:2(18 - 3y) + y = 1136 - 6y + y = 11-5y = -25y = 5Substituting y = 5 into the first equation, we get:x + 3(5) = 18x + 15 = 18x = 3Therefore, the point of intersection is (3, 5).

Find the Point of Intersection of the Lines with Equations