Expert Answers

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Let us start by finding a value of y in terms of x.  We will use the second equation and we get:

y = 8 -2x

x + 2 (8 - 2x) = 1

x + 16 - 4x = 1

x - 4x = -15

-3x = -15

x = 5

If x = 5, then we can substitute in...

5 + 2y = 1

2y = -4

y = -2

Now let us check that by substituting those values in to the equation

2x + y = 8

2 (5) + (-2) = 8

That is correct so we have the right values for x and y/

 

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x+2y=1......(1)

2x+y=8......(2)

We will use the elimination method.

First, multiply (1) by -2 and add to (2)

-2x-4y=-2

2x+y=8

==> -3y=6 ==> y=-2

x+2y=1

==> x= 1-2y = 1-2(-2)= 1+4= 5

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