the system of equations y=-3x+5 and y=3x-7 has
\(\displaystyle \left \{ {{y=-3x+5} \atop {y=3x-7}} \right. \Rightarrow \left \{ {{y+3x=5} \atop {y-3x=-7}} \right. \\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~2y/=-2 \Rightarrow y=- \frac{2}{2} \Rightarrow y=-1 \\ y+3x=5 \\ -1+3x=5 \\ 3x=5+1 \\ 2x=6 \\ x= \frac{6}{2} \\ x=3\)
y = -3x + 5y = 3x - 7 -3x + 5 = 3x - 7+ 3x + 3x 5 = 6x - 7 + 7 + 7 12 = 6x 6 6 2 = xy = -3x + 5y = -3(2) + 5y = -6 + 5y = -1(x, y) = (2, -1)