Question

Olve the system by the method of sub -5x+4y=39 5x-4y=25

Answer 1

no solution

Explanation:

`-5x+4y=39`

`5x-4y=25`

To do this, set up the equations in Slope-Intercept Form.

What is Slope-Intercept Form?

Slope-intercept Form is y = mx + b where m is the slope and b is the y-intercept

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`-5x+4y=39`

Step 1. Solve for y by dividing everything by 4

`y=(5)/(4) x+(39)/(4)`

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`5x-4y=25`

Step 1. Same thing, divide everything by 4

`y=(5)/(4) x-(25)/(4)`

Now, we're ready to solve the system!

`(5)/(4) x+(39)/(4)=(5)/(4) x-(25)/(4)`

Subtract
`(5)/(4) x` from both sides.

`(39)/(4) \\eq (-25)/(4)`

Since the y values don't match then therefore the x values can't match either, thus, there is no solution.