Answer:
7. (2,1) 8. (8,2)
Step-by-step explanation:
Step: Substitute4z−7foryin5y+3z=11:
5y+3z=11
5(4z−7)+3z=11
23z−35=11(Simplify both sides of the equation)
23z−35+35=11+35(Add 35 to both sides)
23z=46 Divide both sides by 23
x=2
Substitute2forxiny=4z−7:
y=4z−7
y=(4)(2)−7
y=1
Step: Solve2x+4y=24for x:
2x+4y+−4y=24+−4y(Add -4y to both sides)
2x=−4y+24
x=−2y+12
−2y+12forxin−2x+8y=0:
−2x+8y=0
−2(−2y+12)+8y=0
12y−24=0(Simplify both sides of the equation)
12y−24+24=0+24(Add 24 to both sides)
12y=24 Divide both sides by 12
y=2
Substitute2foryinx=−2y+12:
x=−2y+12
x=(−2)(2)+12
x=8
