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