The set of equations 4x - 2y = 8 and 2x - y = 3 has to be solved.

Each of these equations represents a line in the x-y plane. It is possible to write each of them in the slope-intercept form, y = m*x + b.

4x - 2y = 8

=> y = 2x - 4

2x - y = 3

=> y = 2x - 3

For both these equations, the slope is the same. These equations represent parallel lines and lines that are parallel to each other do not intersect. As a result, the given set of equations does not have a solution.

4x - 2y = 8

2x - y = 3

To solve these two equations , first multiply everything in the second equation by 2

By multiplying everything in the second equation by 2 , you should get

2x - 2y = 8

4x - 2y = 6 now subtract the two equations

By subtracting the two equations , you should get

-2x = 2 now divide both sides by -2

By dividing both sides by -2 , you should get

x = -1 which is your answer for " x "

Now that we have the answer for " x " , we should plug -1 into one of the equation . Let's plug it into 2x - y = 3

By plugging -1 into the equation we should get

2 ( -1 ) - y = 3 multiply 2 with -1

By multiplying , you should get

-2 - y = 3 now plus 2 on both sides

By adding 2 on both sides , you should get

-y = 5 now divide both sides by -1

By dividing both sides by -1 , you should get

y = -5 which is your answer for " y "

So your answer is , ( -1 , -5 )

4x - 2y = 8,

I am going to try to get x alone first:

subtract 4x

-2y = 8 - 4x

divide by -2:

y = -4 + 2x

now plug in this solution as Y in order to solve for x

2x - y = 3

2x - (-4+2x) = 3

2x + 4 - 2x = 3

move like terms to the same side:

2x - 2x = 3-4

0=-1

this problem does not have solutions, you can tell because 0 does not equal 1, there is nothing you can multiply 0 by in order to get 1 .