I need help with this, 10 POINTS + BRAINLIEST ANSWER

9. Solve the system by substitution.

{-x – y – z = -8
{-4 + 4y + 5z = 7
{2x + 2z = 4

Respuesta :

Solve for y in −4+4y+5z=7

Substitute y=\frac{11-5z}{4}y=​4​​11−5z​​ into -x-y-z=-8−x−y−z=−8
−x−​4​\frac{11−5z}{4}​​−z=−8

Substitute y=\frac{11-5z}{4}y=​411−5z​​ into 2x+2z=42x+2z=4
2x+2z=4
Solve for x in -x-\frac{11-5z}{4}-z=-8−x−​411−5z​​−z=−8
x=−​4​\frac{11−5z}{4}​​+8−z

Substitute x=-\frac{11-5z}{4}+8-zx=−​4​​\frac{11−5z}{4}​​+8−z into y=\frac{11-5z}{4}y=​4
y=​4​ \frac{11−5z}
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Substitute x=-\frac{11-5z}{4}+8-zx=−​4​ \frac{11−5z}{4}​​+8−z into 2x+2z=42x+2z=4
​\frac{5z−11​​}{2}+16=4

Solve for z in \frac{5z-11}{2}+16=4​25z−11​​+16=4

z=\frac{-13}{-5}

Substitute z=-\frac{13}{5}z=−​513​​ into x=-\frac{11-5z}{4}+8-zx=−​411−5z​​+8−z

x=\frac{23}{5}

Substitute z=-\frac{13}{5}z=−​513​​ into y=\frac{11-5z}{4}y=​411−5z​​

y=6
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................................................y=6