Question

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

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

Answer 1

Answer:

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

Answer 2

Answer:

Solution of system is attached.

Step-by-step explanation:

We have been given a system of equations.

$y=-x+5$

$y=\frac{1}{4}x+10$

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:

$-x+5=\frac{1}{4}x+10$

$-x+5-5=\frac{1}{4}x+10-5$

$-x=\frac{1}{4}x+5$

$-x-\frac{1}{4}x=\frac{1}{4}x-\frac{1}{4}x+5$

$-\frac{4x}{4}-\frac{1}{4}x=5$

$-\frac{5}{4}x=5$

$-\frac{5}{4}x\cdot (-\frac{4}{5})=5\cdot (-\frac{4}{5})$

$x=-4$

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.