Question

the system of equations y=-3x+5 and y=3x-7 has

Answer 1

$\displaystyle \left \{ {{y=-3x+5} \atop {y=3x-7}} \right. \Rightarrow \left \{ {{y+3x=5} \atop {y-3x=-7}} \right. \\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~2y/=-2 \Rightarrow y=- \frac{2}{2} \Rightarrow y=-1 \\ y+3x=5 \\ -1+3x=5 \\ 3x=5+1 \\ 2x=6 \\ x= \frac{6}{2} \\ x=3$

Answer 2

y = -3x + 5
y = 3x - 7

  -3x + 5 = 3x - 7
+ 3x       + 3x
           5 = 6x - 7
        + 7        + 7
         12 = 6x
           6     6
           2 = x

y = -3x + 5
y = -3(2) + 5
y = -6 + 5
y = -1
(x, y) = (2, -1)