Question

Can you please solve the system of equations by graphing x-y-4=0 and x+y-2=0 and show work so I can understand

Answer 1

cannot show graphs here.
But if you draw the graphs for the two lines, you will see that they intersect at (3,-1)

If you do not know how to graph a line, there are many examples online and, no doubt, in your lesson material.

Answer 2

It was right but Can you show how you got that answer please so I can do the others

Answer 3

First equation

x - y - 4 = 0

Add y to both sides

x - 4 = y

y = x - 4

Second equation

x + y - 2 = 0

Subtract x to both sides

y - 2 = - x

Add 2 to both sides

y = - x + 2

Draw Cartesian coordinate system.

Find x-intercept and y-intercept for both equations.

The x-intercept is the point at which the graph crosses the x-axis.
At this point, the y-coordinate is zero.

The y-intercept is the point at which the graph crosses the y-axis.

At this point, the x-coordinate is zero.

First equation

y = x - 4

x-intercept

0 = x - 4

Add 4 to both sides

4 = x

x = 4

Mark point ( 4 , 0 )

y-intercept

y = x - 4

y = 0 - 4

y = - 4

Mark point ( 0 , - 4 )

Connect these two points with a straight line.

Second equation

y = - x + 2

x-intercept

0 = - x + 2

Add x to both sides

x = 2

Mark point ( 2 , 0 )

y-intercept

y = - x + 2

y = 0 + 2

y = 2

Mark point ( 0 , 2 )

Connect these two points with a straight line.

The point where two lines meet is the solution of your system of equations.

x = 3 , y = - 1