d) 3x-1=y-2
4x-3=-2(y-2)
y=3x-1+2
4x-3=-2y+4
4x-3=-2(3x-1)+4
y=3x-1
4x=-6x+2+4+3
4x+6x=9
10x=9
x=9/10=0.9
y=3*9/10-1
y=27/10-1=2.7-1=1.7
x=0.9
e)
2x+2y-x+1=y+2
x=1-y
x+2y-y=1
1-y+2y-y=1
0y=0
x=1
f)
1/2x-1/2+y=-2 i 1/2
x=8-y
1/2(8-y)+y=-2 i 1/2+1/2
4-1/2y+y=-2
1/2y=-6
y=-12
x=8+12=20
g)
2(x-y)-3(x+y)=-3
x=3-y
2x-2y-3x-3y=-3
x=3+y
-x-5y=-3
-3-y-5y=-3
-6y=0
y=0
x=3+0=3
h)
x^2-2x+1-y^2-2y-4=x^2-y^2
2x+y=0
-2x-2y-3=0
y=-2x
-2x-2(-2x)-3=0
-2x+4x-3=0
2x-3=0
2x=3
x=3/2
y=-2*3/2
x=3/2=1.5
y=-3
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d) 3x-1=y-2
4x-3=-2(y-2)
y=3x-1+2
4x-3=-2y+4
y=3x-1+2
4x-3=-2(3x-1)+4
y=3x-1
4x=-6x+2+4+3
y=3x-1
4x+6x=9
y=3x-1
10x=9
y=3x-1
x=9/10=0.9
y=3*9/10-1
x=9/10=0.9
y=27/10-1=2.7-1=1.7
x=0.9
e)
2x+2y-x+1=y+2
x=1-y
x+2y-y=1
x=1-y
1-y+2y-y=1
x=1-y
0y=0
x=1
f)
1/2x-1/2+y=-2 i 1/2
x=8-y
1/2(8-y)+y=-2 i 1/2+1/2
x=8-y
4-1/2y+y=-2
x=8-y
1/2y=-6
x=8-y
y=-12
x=8+12=20
g)
2(x-y)-3(x+y)=-3
x=3-y
2x-2y-3x-3y=-3
x=3+y
-x-5y=-3
x=3+y
-3-y-5y=-3
x=3+y
-6y=0
x=3+y
y=0
x=3+0=3
h)
x^2-2x+1-y^2-2y-4=x^2-y^2
2x+y=0
-2x-2y-3=0
y=-2x
-2x-2(-2x)-3=0
y=-2x
-2x+4x-3=0
y=-2x
2x-3=0
y=-2x
2x=3
y=-2x
x=3/2
y=-2*3/2
x=3/2=1.5
y=-3