Question

7x + 2y = 17
2x - 2y = 1
=​

Answer 1

`(2,(3)/(2)})`

Explanation:

For finding the system of equations you can use one of two methods. There's the elimination method and also the substitution method. For this I think the best way we could go at solving this is by using the elimination method. Since we can eliminate the 2y. We can then solve for x and then we'll go from there.

`\left \{ +{{7x+2y=17} \atop {2x-2y=1}} \right. \\\\9x=18\\x=2`

Now that we know what x is we can substitute it for one of the equations and then we will be able to solve for y.

`7x+2y=17\\7(2)+2y=17\\14+2y=17\\2y=3\\y=(3)/(2)`

So now we have the x and the y and once we place them together we can get the solution of those two equations, and the solution is
`(2,(3)/(2)})`.