Answer:
![(0,-3)](https://img.qammunity.org/2021/formulas/mathematics/college/aa1xdoa8cloz52cydc8qwqzbb9kfa0cbga.png)
![(5,0)](https://img.qammunity.org/2021/formulas/mathematics/high-school/mh4buprbxf1pp1vzqxvpcaf4nfyjlxwvkx.png)
![(10,3)](https://img.qammunity.org/2021/formulas/mathematics/high-school/ojqk6phs54vmofdbkoepwn352yhdn6azta.png)
![(20,9)](https://img.qammunity.org/2021/formulas/mathematics/high-school/a3k2u45ggwq7wpurws2qmv95su99jtgel7.png)
Explanation:
Given
![3x - 5y = 15](https://img.qammunity.org/2021/formulas/mathematics/high-school/6sh5cnlmrbp1jyywo5hck7d3fl0d8a9afk.png)
Required
Form 4 pairs of (x,y) values
This question will be answered based on assumptions of x and y values;
Haven said that:
For point 1
Take x = 0
Substitute 0 for x in
![3x - 5y = 15](https://img.qammunity.org/2021/formulas/mathematics/high-school/6sh5cnlmrbp1jyywo5hck7d3fl0d8a9afk.png)
![3(0) -5y = 15](https://img.qammunity.org/2021/formulas/mathematics/high-school/8f86220t5pt2a7qjoqaas4frraniavxdeg.png)
![-5y = 15](https://img.qammunity.org/2021/formulas/mathematics/high-school/r4hclyu15dka1ia2dl52t55z3ose9cqyep.png)
Solve for y
![y = 15/-5](https://img.qammunity.org/2021/formulas/mathematics/high-school/4s6csb5ffwn4fk8dxc84dp5ulyg4dpjsc8.png)
![y = -3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/4tc2wancrocvdtywr376jqxmqfyoiw2n5o.png)
So; the first pair is:
![(0,-3)](https://img.qammunity.org/2021/formulas/mathematics/college/aa1xdoa8cloz52cydc8qwqzbb9kfa0cbga.png)
For point 2:
Take y = 0
Substitute 0 for y in
![3x - 5y = 15](https://img.qammunity.org/2021/formulas/mathematics/high-school/6sh5cnlmrbp1jyywo5hck7d3fl0d8a9afk.png)
![3x - 5(0) = 15](https://img.qammunity.org/2021/formulas/mathematics/high-school/1f2wtzm2ewax1dzeetf9p0lmz2i5gmko7l.png)
![3x = 15](https://img.qammunity.org/2021/formulas/mathematics/high-school/pwqx8njb22i4d1k8kok8vk4v5pvm8fuklo.png)
Solve for x
![x = 15/3](https://img.qammunity.org/2021/formulas/mathematics/high-school/8719p7j7uiu1xwe9wswywnskh8myynp7pw.png)
![x = 5](https://img.qammunity.org/2021/formulas/mathematics/middle-school/sujnxaspfa8gos6wnx2ntn2ley38gfuk9z.png)
So, the pair is
![(5,0)](https://img.qammunity.org/2021/formulas/mathematics/high-school/mh4buprbxf1pp1vzqxvpcaf4nfyjlxwvkx.png)
For point 3:
Take x = 10
Substitute 10 for x in
![3x - 5y = 15](https://img.qammunity.org/2021/formulas/mathematics/high-school/6sh5cnlmrbp1jyywo5hck7d3fl0d8a9afk.png)
![3(10) - 5y = 15](https://img.qammunity.org/2021/formulas/mathematics/high-school/syidahwdts4eknw1ebpabw6qrkapc1r4nt.png)
![30 - 5y = 15](https://img.qammunity.org/2021/formulas/mathematics/high-school/vvju5c950ujfxsdsw8phpnsbq16a429pb1.png)
Collect Like Terms
![-5y = 15 - 30](https://img.qammunity.org/2021/formulas/mathematics/high-school/otgkwyi9y7bwowvukh4vohmfarlsr7xafh.png)
![-5y = -15](https://img.qammunity.org/2021/formulas/mathematics/high-school/w8zt2j196oamu2csab8syyea27k5hbd4zc.png)
Solve for y
![y = -15/-5](https://img.qammunity.org/2021/formulas/mathematics/high-school/c40e9jfwi9mtffptwsxdkd5gdqdz9xh2q3.png)
![y = 3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/acoo9469po7wyuqrdt46fqzahwmx3ebgvr.png)
So, the pair is:
![(10,3)](https://img.qammunity.org/2021/formulas/mathematics/high-school/ojqk6phs54vmofdbkoepwn352yhdn6azta.png)
For point 4:
Take y = 9
Substitute 9 for y in
![3x - 5y = 15](https://img.qammunity.org/2021/formulas/mathematics/high-school/6sh5cnlmrbp1jyywo5hck7d3fl0d8a9afk.png)
![3x - 5(9) = 15](https://img.qammunity.org/2021/formulas/mathematics/high-school/f2so2zy8yzjhcjjewhpf254171asqa1t91.png)
![3x - 45 = 15](https://img.qammunity.org/2021/formulas/mathematics/high-school/fhn1yqdu87ng5tuzoba8ysampwtqdixib6.png)
Collect Like Terms
![3x = 45 + 15](https://img.qammunity.org/2021/formulas/mathematics/high-school/h1pc07i1kt48catavxghgn8rs2ztn6p62k.png)
![3x = 60](https://img.qammunity.org/2021/formulas/mathematics/middle-school/cs1qrrnb7irp19v43mm45dlu6rvestcg6f.png)
Solve for x
![x = 60/3](https://img.qammunity.org/2021/formulas/mathematics/high-school/teshngsydlsr9o3kxsglw29b3rltlus9ki.png)
![x = 20](https://img.qammunity.org/2021/formulas/mathematics/middle-school/q1i7dn6ljir99re9fojnl8jwj6cyxusu19.png)
So, the pair is:
![(20,9)](https://img.qammunity.org/2021/formulas/mathematics/high-school/a3k2u45ggwq7wpurws2qmv95su99jtgel7.png)