Question

Systems of Equations math help please. I haven't done it in a long time, and I need assistance please.

Which ordered pair makes the equation true?
4x – 9y = –5

Answer Choices:

(–5, –2)

(10, 5)

(20, 4)

(–1, 1)

Answer 1

Hello there! We are given the equation
`4x-9y=-5` and want to find which of the 4 answer choices make it true.

The answer choices are in the form of an ordered pair
`(x,y)`, where the first number is the x-value and the second value is the y-value

Let's test each of the 4 answer choices to see which makes the equation true:

Answer Choice #1: (-5,-2)

`4x-9y=-5`

Substitute the values x=-5 and y=-2 into the equation

`4(-5)-9(-2)=-5`

`-20+18=-5`

`-2=-5`

Answer choice 1 does NOT make the equation true.

Answer Choice #2: (10,5)

`4x-9y=-5`

Substitute the values x=10 and y=5 into the equation

`4(10)-9(5)=-5`

`40-45=-5`

`-5=-5`

Answer choice 2 does makes the equation true; thus, it is the answer.

Answer Choices #3 and #4

Since we have the answer, we don't need to keep testing the other choices. However, if you were to test them, they will NOT make the equation true.

Let me know if you need any clarifications, thanks!

~ Padoru