Question

when i use elimination to solve a system of equations, what do i do if there is nothing to eliminate?
ex. 5x+4y=-6
3x-3y=4

Answer 1

you can always eliminate
ex multiply the first line by 3 and the second by -5

Answer 2

oh ok, i didn't know that you could multiply by two different numbers

Answer 3

Alternative Hint:
\(y = -\large\frac{6 + 5x}{4}\)
\(y = -\large\frac{3x - 4}{3}\)

Answer 4

Solve each for y, then set y = y and cross multiply

Answer 5

So

\(\frac{6 + 5x}{4} = \frac{4 - 3x}{3}\)

3(6 + 5x) = 4(4-3x) then continue solving for x