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What is the x- value of x-2y plus z equals -9 3y-2z equals 4 2x plus y plus 5z equals -5?
Wiki User
∙ 13y ago
x-(x-2y)+z=-9
3y-2z=4
2x+y+5z=-5
x-(x-2y)+z=-9 --distribute negative through bracket--> x-x+2y+z=-9
x-x+2y+z=-9 --combine like terms (x)--> 2y+z=-9
2y+z=-9 --isolate z--> z=-9-2y
substitute z into second equation:
3y-2(-9-2y)=4 --multiply -2 through bracket--> 3y+18+4y=4
3y+18+4y=4 --subtract 18 from both sides--> 3y+4y=-14
3y+4y=-14 --combine like terms--> 7y=-14
7y=-14 --divide both sides by 7--> y=-2
Substitute value of y into simplified first equation:
z=-9-2(-2) --multiply through the bracket--> z=-9+4
z=-9+4 --combine like terms--> z=-5
Substitute values of y and z into third equation:
2x+(-2)+5(-5)=-5 --multiply through brackets--> 2x-2-25=-5
2x-2-25=-5 --combine like terms--> 2x-27=-5
2x-27=-5 --add 27 to both sides--> 2x=22
2x=22 --divide both sides by 2--> x=11
x=11, y=-2, z=-5
Wiki User
∙ 13y ago
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