Question

Solve the system and explain what the results mean according to your scenario.

2x + y = 11
3x + 4y = 24

Answer 1

multiply the first equation by 4 and then subtract the two equation , solve for x, then substitute in anyone of them to get y!

Answer 2

Multiply top equation by -4 to eliminate y variable

-8x-4y = -44
3x +4y = 24
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-5x = -20
x = 4

Substitute x=4 back into original top equation
2(4) +y = 11
8+y = 11
y = 3

This means the 2 lines intersect at point (4,3)
the solution, x=4, y=3 is the only x,y combination that satisfies both equations