Question

5x + 2y = 7

Y=X+1
What is the solution set of the given system?
{(16/7, 9/7)}
{(5/7, 12/7)}
[(12/7, 5/7)}
((9/7, 16/7)]​

Answer 1

Answer: correct answer is {(5/7,12/7)}

Explanation:

Answer 2

`((5)/(7),(12)/(7))`

Explanation:

The given system is

`5x+2y=7`

`y=x+1`

We substitute the bottom equation into the top equation to get:

`5x+2(x+1)=7`

Expand to get:

`5x+2x+2=7`

Group similar terms:

`5x+2x=7-2`

Combine similar terms:

`7x=5`

`x=(5)/(7)`

Put
`x=(5)/(7)` into the bottom equation

`y=(5)/(7)+1`

`y=(5+7)/(7)`

`y=(12)/(7)`

The solution is

`((5)/(7),(12)/(7))`