Question

1. Which graph represents the solution to the given system?

y= -x+5
y= 1/4x +10

Answer 1

i think its the first graph but im nit 100% sure

Answer 2

Solution of system is attached.

Explanation:

We have been given a system of equations.

`y=-x+5`

`y=(1)/(4)x+10`

We are asked to find the graph that represents solution to the given system.

First of all, we will find the solution of our given system as:

`-x+5=(1)/(4)x+10`

`-x+5-5=(1)/(4)x+10-5`

`-x=(1)/(4)x+5`

`-x-(1)/(4)x=(1)/(4)x-(1)/(4)x+5`

`-(4x)/(4)-(1)/(4)x=5`

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

`-(5)/(4)x\cdot (-(4)/(5))=5\cdot (-(4)/(5))`

`x=-4`

Upon substituting
`x=-4` in equation
`y=-x+5`, we will get:

`y=-(-4)+5`

`y=4+5`

`y=9`

The solution of our given system is
`(-4,9)`, therefore, the graph in which both lines intersect at
`(-4,9)` would be correct choice.