Question

the system below and write its solution. 1 y=-x-2 4 x-4y=0 that you can also answer solutions no solutions many solutions ​

Answer 1

No solution

Explanation:

y = 1/4x - 2

x - 4y = 0

This can be rewritten

x - 4y = 0 Subtract x from both sides

-4y = -x Divide both sides by -4

`(-4y)/(-4)` =
`(-x)/(-4)`

y = 1/4 x

When we put both equations in the slope intercept form, we see that the slopes are the same (1/4), that means that the lines are parallel. They will never intersect, so there is no solution

If we set the two equations equal to each other

1/4x - 2 = 1/4x Subtract 1/4 x from both sides

-2 = 0 This is a false statements so there is no solution.

Helping in the name of Jesus.

Answer 2

we substitute the value of y:

x-4(x/4 -2) = 0

x-4x/4+8/4=0

x-x+8=0→∅

the equation has no solution

Explanation: