Answer:
x=1
Step-by-step explanation:
-2x + 4 = 5 - 3x
Add 3x to each side
-2x+3x + 4 = 5 - 3x+3x
x +4 =5
Subtract 4 from each side
x+4-4 =5-4
x =1
Answer:
x=-2, y=-4. (-2, -4).
Step-by-step explanation:
2x-y=0
y=x-2
------------
2x-(x-2)=0
2x-x+2=0
x+2=0
x=0-2
x=-2
y=-2-2=-4
Answer:
its infinite solution
Step-by-step explanation:
Eliminate <em>x</em> by taking two equations at a time and combining them in the the right parts.
For example, taking the first two equations, we can eliminate <em>x</em> by subtracting 2 times the second equation away from the first:
(2<em>x</em> - 5<em>y</em> + 7<em>z</em>) - 2 (<em>x</em> - 3<em>y</em> + 4<em>z</em>) = 6 - 2×3
(2<em>x</em> - 2<em>x</em>) + (-5<em>y</em> + 6<em>y</em>) + (7<em>z</em> - 8<em>z</em>) = 6 - 6
<em>y</em> - <em>z</em> = 0
Similarly, take 3 times the second equation from the third:
(3<em>x</em> - 8<em>y</em> + 11<em>z</em>) - 3 (<em>x</em> - 3<em>y</em> + 4<em>z</em>) = 11 - 3×3
(3<em>x</em> - 3<em>x</em>) + (-8<em>y</em> + 9<em>y</em>) + (11<em>z</em> - 12<em>z</em>) = 11 - 33
<em>y</em> - <em>z</em> = -22
But these two new equations say 0 = -22, which is not true. So there is no solution to this system.
