Solve for each variable:
-4x-6y+5z=21
3x+4y-2z=-15
-7x-5y+3z=15
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Solve for each variable:
-4x-6y+5z=21
3x+4y-2z=-15
-7x-5y+3z=15
(1)−4x−6y+5z=21(2)3x+4y−2z=−15|⋅43(3)−7x−5y+3z=15|⋅4−7(1)−4x−6y+5z=21(2)3⋅43x+4⋅43y−2⋅43z=−15⋅43(3)−7⋅4−7x−5⋅4−7y+3⋅4−7z=15⋅4−7(1)−4x−6y+5z=21(2)4x+163y−83z=−20(3)4x+207y−127z=−607(1)−4x−6y+5z=21(2)+(1)0−23y+73z=1(3)+(1)0−227y+237z=877(1)−4x−6y+5z=21(2)0−23y+73z=1(3)0−227y+237z=877|⋅−722⋅23(1)−4x−6y+5z=21(2)0−23y+73z=1(3)0−227⋅−722⋅23y+237⋅−722⋅23z=877⋅−722⋅23(1)−4x−6y+5z=21(2)0−23y+73z=1(3)0+23y−2322⋅23z=−8722⋅23(1)−4x−6y+5z=21(2)0−23y+73z=1(3)+(2)0010866z=−10866
10866z=−10866z=−1086610866z=−10866⋅66108z=−1
−23y+73z=1−23y+73⋅(−1)=1−23y−73=1−23y=1+73−23y=103y=103⋅(−32)y=−5
−4x−6y+5z=21−4x−6⋅(−5)+5⋅(−1)=21−4x+30−5=21−4x+25=21−4x=−44x=4x=1
−4×x−6×y+5×z=21⇒x=(5×z−6×y−21)4
3×x+4×y−2×z=−15⇒x=(2×z−4×y−15)3
−7×x−5×y+3×z=15⇒x=(3×z−5×y−15)7
.Solve for each variable:
-4x-6y+5z=21
3x+4y-2z=-15
-7x-5y+3z=15
(1)−4x−6y+5z=21(2)3x+4y−2z=−15|⋅43(3)−7x−5y+3z=15|⋅4−7(1)−4x−6y+5z=21(2)3⋅43x+4⋅43y−2⋅43z=−15⋅43(3)−7⋅4−7x−5⋅4−7y+3⋅4−7z=15⋅4−7(1)−4x−6y+5z=21(2)4x+163y−83z=−20(3)4x+207y−127z=−607(1)−4x−6y+5z=21(2)+(1)0−23y+73z=1(3)+(1)0−227y+237z=877(1)−4x−6y+5z=21(2)0−23y+73z=1(3)0−227y+237z=877|⋅−722⋅23(1)−4x−6y+5z=21(2)0−23y+73z=1(3)0−227⋅−722⋅23y+237⋅−722⋅23z=877⋅−722⋅23(1)−4x−6y+5z=21(2)0−23y+73z=1(3)0+23y−2322⋅23z=−8722⋅23(1)−4x−6y+5z=21(2)0−23y+73z=1(3)+(2)0010866z=−10866
10866z=−10866z=−1086610866z=−10866⋅66108z=−1
−23y+73z=1−23y+73⋅(−1)=1−23y−73=1−23y=1+73−23y=103y=103⋅(−32)y=−5
−4x−6y+5z=21−4x−6⋅(−5)+5⋅(−1)=21−4x+30−5=21−4x+25=21−4x=−44x=4x=1