Saturday

August 2, 2014

August 2, 2014

Posted by **Linda** on Tuesday, November 1, 2011 at 2:19am.

2x - 2y + z = 3

5y - z = -31

x + 3y + 2z = -21

______________________

The answer I got for this is ( -26, 6,67) but I know its wrong and I don't know why. Help please >< my work is at the bottom

I used substitution method changed 5y-z=-31 to z=5y+31 then I:

Plugged it in the first equation=

2x-2y+5y+31=3 -> 2x+3y+31=3 -> 2x+3y=-28 is my new 1st equation...

Plugged in z=5y+31 to equation 3 =

x+3y+2(5y+31)=-21 -> x+3y+10y+62=-21 -> x+13y+62=-21 -> x+13y=-83 is my new 2nd equation.

2(=13y=82)+3y=-28 -> -26-166+3y=-28 -> -23y=138 - > y=6

2x+3(6)=-28 -> 2x+18=-28 -> 2x=-46 -> x=-23

2(-26)-2*6)+z=3 -> -52-12+z=3 -> -64+z=3 -> z=67

- Math -
**Anonymous**, Tuesday, November 1, 2011 at 5:43am5y - z = -31

z = 5y + 31

2x - 2y + z = 3

( Now put z = 5y + 31 in equation )

2x - 2y + 5y + 31 = 3

2x + 3y = 3 - 31

2x + 3y = - 28

2x = - 28 - 3y Divide both sides with 2

x = - 14 - ( 3 / 2 ) y

x + 3y + 2z = -21

( Now put x = - 14 - ( 3 / 2 ) y and z = 5y + 31 in equation )

- 14 - ( 3 / 2 ) y + 3y + 2 ( 5y + 31 ) = - 21

- 14 - ( 3 / 2 ) y + 3y + 10y + 62 = - 21

- ( 3 / 2 ) y + 13y = - 21 + 14 - 62

- ( 3 / 2 ) y + ( 26 / 2 ) y = - 69

( 23 / 2 ) y = - 69 Multiply both sides with 2

23y = - 138 Divide both sides with 23

y = - 6

z = 5y + 31

z = 5 ( -6 ) + 31

z = - 30 + 31

z = 1

x = - 14 - ( 3 / 2 ) y

x = - 14 - ( 3 / 2 ) -6

x = - 14 + 18 / 2

x = - 14 + 9

x = - 5

So solutions are :

x = - 5

y = - 6

z = 1

**Related Questions**

Math(Solve the system) - So I guess I have to: Solve the system using any ...

Algebra 2 - Solve the system using any algebraic method. 22.)2x-5y=4 23.)5x+7y=...

MaTh = Algebra = help - Solve this system of linear equaiton by an algebraic ...

alegbra 1 - Solve the following system of linear equation using any algebraic ...

alegbra 1 - Solve the following system of linear equation using any algebraic ...

alegbra 1 - Solve the following system of linear equation using any algebraic ...

MATH - Find the solution/point of intersection of the following quadratic-linear...

Algebra - Solve the system of equations by an algebraic method. Leave answer in ...

math - Can someone please check my work? Solve using substitution method 1. 3x+...

Algebra-Multiple choice - Hello, I have some practice math I'm working through ...