Question

Solve this system algebraically.

9x + 2y = 5
y - 2x + 3 = 0

{(11/13, -17/13)}
{(-11/13, -17/13)}
{(-11/13, 17/13)}
{(11/13, 17/13)}

Answer 1

From y-2x+3=0 we have y=2x-3
So we can replace y by 2x-3 in the equation: 9x+2y=5
And we have 9x+2(2x-3)=5
Or 9x+4x-6=5
and 13x=5+6
Or x=11/13, then y=2x-3= 2. 11/13-3=22/13-3= -17/13

So we have the answer {(11/13, -17/13)}