Question

The graph below shows a system of equations: Draw a line labeled y equals minus x plus 5 by joining the ordered pairs 0, 5 and 5, 0. Draw a line labeled y equals x minus 1 The x-coordinate of the solution to the system of equations is ___ . (5 points)

Answer 1

x = 3

Explanation:

i did the same test and got it right

Answer 2

The x-coordinate of the solution is x=3

Explanation:

we have

`y=-x+5` ------> equation A

`y=x-1` ------> equation B

Solve the system of equations by substitution

Substitute equation B in equation A and solve for x

`x-1=-x+5`

`x+x=5+1`

`2x=6`

`x=3`

Find the value of y

`y=x-1` ------>
`y=3-1=2`

The solution of the system of equations is the point (3,2)

therefore

The x-coordinate of the solution is x=3