Question

solve with an ordered pair
9x-y+z=-10
2x+2y-3z=24
x-3y+2z=-26
(_,_,_)

Answer 1

Solve for one of your variables in terms of the others, the top seems easy to solve for y, so-->
y=9x+z+10 (Eq. 1)

plug this into the second equation in place of y and solve for x in terms of z (or z in terms of x)-->
2x + 2(9x+z+10) -3z = 24
20x -z = 4
z = 20x-4 (Eq. 2)

plug this into the final equation along with the previous formula for y (plugging z in terms of x in that as well)-->
x-3(9x + (20x-4) +10)+2(20x-4)=-26
-46x-26=-26-->x=0

Use this result in Eq. 2-->z=-4
Use these in Eq. 1-->y=6

Answer = (0,6,-4)
Check answer by putting result in each of the three equations you started with

Answer 2

thanks