Question

Graph and check to solve the system of linear equations.
2x + y = 4
-4x – 2y = -8

Answer 1

need help

Answer 2

I know how to solve it but I am no good at graphing. Do you want me to show you how to solve it without graphing ?

Answer 3

i just need to solve it

Answer 4

do you know how to do the elimination method ?

Answer 5

not really

Answer 6

It can also be solved by substitution....that is easier, so I will show you that...
2x + y = 4 (you want to get the single variable, y, on one side by itself.
so subtract 2x from both sides..
2x - 2x + y = 4 - 2x (combine like terms)
y = 4 - 2x
Do you understand how I did this ?

Answer 7

yes but how do you get the points

Answer 8

I will show you....be patient.
we now know that y = 4 - 2x.
substitute 4 - 2x in for y in the other equation..
-4x - 2y = -8
-4x -2(4 - 2x) = -8 (distribute the -2 through the parenthesis)
-4x - 8 + 4x = - 8
-4x +4x = -8 + 8
0 = 0
There is infinite solutions to this problem.

Answer 9

thanks i see how u did it

Answer 10

if the answer would have been 0 = 3, then there would be no solutions

Answer 11

A simpler way to do it would have been to just take the second equation:
-4x – 2y = -8

Rewrite it as:
4x + 2y = 8

Then divide by 2 to get:

2x + y = 4

Thus both equations are the same

Answer 12

yes....that is much easier :)