Question

Identify the solution(s) of the system of equations, if any.

6x + 4y = 17

y = 5 - 3x






(3.5, –0.5)




(3.5, 0.5)




(–0.5, 3.5)




(0.5, 3.5)

Answer 1

\(y = 5 - 3x\)

Put this value of \(y\) in first equation : \(6x + 4(5-3x) = 17\)

Answer 2

Distribute 4 to brackets and add like terms, try to find \(x\)..

Answer 3

You can also take advantage of your solutions and plug them in and check which one is right.

Answer 4

But water is right, his is a good way to learn where plugging in solutions more of if you're in a hurry :P