Question 73645
SINCE Y=-X+4 THEN WE SUBSTITUTE (-X+4) FIR Y IN THE OTHER EQUATION WE GET
-X+4=2X/3-1
-X-2X/3=-1-4
(-3X-2X)/3=-5
-5X/3=-5 NOW CROSS MULTIPLY 
-5X=-15
X=-15/-5
X=3 ANSWER. NOW SUBSTITUTE 3 FOR X & SOLVE FOR Y
Y=-3+4
Y=1 ANSWER.
PROOF
1=2/3*3-1
1=2-1
1=1
GRAPHS FOLLOW
{{{ graph( 300, 300, -10, 10, -10, 10, y = 2x/3 -1, y = -x +4) }}} (graph 300x300 pixels, x from -10 to 10, y from -10 to 10, of TWO functions y = 2x/3 -1 and y = -x +4).