Asystem of equations is graphed on the coordinate plane.

y=−x+5
y=2x−1

what is the solution to the system of equations?

show work and explain

will give out brainliest to best answer that is right

-x+5=2x-1
+x +x
5=3x-1
+1 +1
6=3x
/3 /3
2=x

first you take both equations and set them equal to each other because they both equal Y then you add x to both sides to eliminate it from one side. next you add 1 to both sides so that you have 6 equals 3x. lastly you divide both sides by 2 to get your final answer x equals 2.

y=2x-1
y=2•2-1
y=4-1
y=3

when solving for y you have to choose one of the equations and substitute the answer you got for x in which is 2. Then you solve it like a regular equation and multiply first 2 by 2 and lastly subtract 1 from 4 which leaves you with an answer of y=3.

The coordinate point would be (2,3) because x=2 and y=3.