Answer:
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
Answer:
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
