Solve system of equations algebraically.

1. 3x-3y=24 and 2x+5y=-37
2. -9x+10y=-2 and 45x-50y=11
3. -9x-3y=-3 and 18x+6y=6
4. -5x-6y=-23 and 8x+7y=29
5. 9x-7y=4 and 5x+3y=-46

1 answer

I will do the last one, you do the others

5.
9x - 7y = 4
multiply each term by 3 ---> 27x - 21y = 12
5x + 3y = -46
multiply each term by 7 ---> 35x + 21y = -322
add these last two equations
62x = -310
x = -5

sub into
5(-5) + 3y = -46
3y=-21
y = -7

x= -5, y = -7
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