Exercise Set 1.6: Linear Systems of Three Variables Solve the following systems of equations by using substitution and/or elimination. 1.
3 x − 5 y + z = 22 2x + y =1 x − 3 y − 4z = 7
2.
x
+ 3z = 5
3 x − 2 y − z = −13 5 x − 7 y + 4 z = −1
3.
x + y + z= 1 −2 x + 3 y − 5 z = 20 3 x − y + 2 z = −1
4.
x − y + z= 2 −4 x + 2 y − 3 z = −5 2x + 3y + z = 4
5.
2 x + 3 y − 4 z = −9 3x − 5 y − 2 z = 4 −2 x + 4 y + 3z = 0
6.
4x − 5 y + 2z = 7 3x + 2 y − 4 z = 10 −2 x − 3 y + 3 z = −3
Solve the following equations by using the substitution method. 7.
y = x2 x + y = 12
8.
x = y2 x− y=2
9.
x 2 + y 2 = 10 x + 3y = 0
10. x + y 2 = 5 x+ y =3
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