X-6y-2z= 7
-2x+5y-2z= -1
-5x+6y+5z= -6

do you need the value of x?

x=7+6y+2z

-2(7+6y+2z)+5y+2z=-1 -7y=13+2z

-14-12y-4z+5y+2z=-1

-14-7y-2z=-1

-7y-2z=-1+14

-7y-2z=13

x= -1, y= -1 and z= -1

Step-by-step explanation:

x-6y-2z= 7 (Equation 1)

-2x+5y-2z= -1 (Equation 2)

-5x+6y+5z= -6 (Equation 3)

The above three are your system of equations and you need x3 answers!

Use equations (1) and (2) to eliminate z. Multiply equation (1) by −1 and then add to equation (2) to eliminate z. Resulting in:

−x+6y+2z= -7 (1)

−2x+5y−2z= -1 (2)

Adding them together results in your 4th equation:

-3x+11y= -8 (4)

Use equations (1) and (3) to eliminate z. Multiply equation (1) by −5 and equation (3) by −2 and then add to eliminate z. Resulting in:

−5x+30y+10z= -35 (1)

10x-12y-10z= 12 (3)

Add them to get:

5x+18y= -23 (5)

Use equations (4) and (5) to solve for x. Multiply equation (4) by 18 and equation (5) by −11 and then add to eliminate y.

−54x+198y= -144

-55x-198y= 253

-109x=109 (Divide -109 from both sides to isolate x)

x= -1 < ANSWER 1

Substitute x=−1 into equation (4) to find:

−3x+11y= -8

-3(-1)+11y= -8

3+11y= -8 (Subtract 3 from both sides)

11y=-11 (Divide 11 from both sides to isolate y)

y=-1 < ANSWER 2

Now we can substitute x=−1 and y=−1 into equation (1) to find:

x-6y-2z= 7

(-1)-6(-1)-2z=7

-2z+5=7 (Subtract 5 from both sides to isolate z)

z= -1 < ANSWER 3

Hope this explains it for you! Enjoy! <3

answer: 2x + 2 − 2 = 10 − 2; subtraction property of equality

step-by-step explanation:

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step-by-step explanation:

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