Question

5x+4y=16 -2x-4y=-4
Show your step by step process.
Solve the system of linear equations.​

Answer 1

x=1 and y= 5
`(1)/(4)`

Explanation:

To solve this, lets take the first equation and find the x value.

Because it is ordered in standard form, we need to convert to slope-intercept form, and isolate the y.

5x+4y=16

-5x -5x

4y=-5x+16

÷4 ÷4 ÷4

y=
`(-5)/(4)`+4

or

y=-1
`(1)/(4)`+4

or

y= 5
`(1)/(4)`

Now that we have the y value, we can use this to find the x value by inserting it into either equation, since they both have y values in them. Going with the first one again, lets try it:

5x+4(
`(-5)/(4)`+4)=16

5x-5+16=16

5x+11=16

-11 -11

5x=5

÷5 ÷5

x=1 and y= 5
`(1)/(4)`