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kathyc53
07.07.2019 •
Mathematics
Solve the system by substitution, include work
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Ответ:
-x-y-z = -8> add y and z to both sides
-x = y + z - 8 > Divide both sides by -1
x = -y - z + 8
2x + 2z = 4 > Divide both sides by 2
x + z = 2 > Subtract x from both sides
z = -x + 2
x = -y - (-x + 2) + 8 > Now reisolate x by first simplying
x = -y + x -2 + 8 > Add
x = -y + x + 6 > Subtract x from both sides and add y to both sides
y = 6
Plug the values for y and z into the second equation and isolate x.
-4x + 4(6) + 5(-x+2) = 7 > Simplify
-4x + 24 -5x +10 = 7 > Combine like terms
-9x + 34 = 7 > Subtract 34 from both sides
-9x = -27 > Divide both sides by -9
x = 3
Plug x into the thirs equation and isolate z
2(3) + 2z = 4 ---> Simplify
6 + 2z = 4 > Subtract 6 from both sides
2z = -2 > Divide both sizes by 2
z = -1
Final Answers:
x = 3
y = 6
z = -1
Optional - Check your answer by plugging the values above back into the 1st equation.
-x-y-z = -8
-(3)-(6)-(-1) = -8
-3 - 6 + 1 = -8
-8 = -8
Hope this helps!
Ответ:
STEP 2
Step-by-step explanation: I took the quiz i am pretty positive
plz mark me as the brainliest