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

Answer:

The x-coordinate of the solution is x=3

Step-by-step 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