Verified answer

2x + y = 1

x - y = 3

3x = 4

x = 4/3

y = -5/3

If 2X+Y=1,

Y=1-2X

Subtitute Y=1-2X into equation X-Y=3,

X-(1-2X)=3

X-1+2X=3

3X=4

X=4/3

When X =4/3, sub. into equation 2X+Y=1

2(4/3)+Y=1

Y= -5/3

Thus, X=4/3, Y= -5/3

x=4/3

y=-5/3

2x+y=1.............add the two equations together

x-y=3

to get

3x = 4.....divide by 3

x = 4/3

substitute 4/3 INSTEAD of x in either of the ORIGINAL equations

2x + y = 1

2(4/3) +y = 1

y = 1-8/3

y = -5/3

2x+y=1

x-y=3

Add the eqns we get : 3x + 0y = 4

so x = 4/3

putting in eqn no 2 we get

4/3 - y =3

y = 4/3 -3 = - 5/3

so solution is x = 4/3 , y = - 5/3.........................answer

2x+y=1,

x-y=3,

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x=y+3,

2(y+3)+y=1,

2y+6+y=1,

3y+6=1,

3y=1-6,

3y=-5,

y=-5/3,

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x-(-5/3)=3,

x+5/3=3,

x=3-5/3,

x=9/3-5/3,

x=4/3.

Answer: x=4/3, y=-5/3. (4/3, -5/3).

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