Question

Using a sheet of graph paper, solve the following system of equations graphically. Be sure to show any work, use a straight edge, and be neat. When you are finished, enter the solution set in the box below and turn in your graph paper to your teacher.
x+y=0
x-y+2=0

Answer 1

Answer:

we have the following system of equations

we know that

The intersection of both graphs is the solution of the system of equations

using a graph tool

see the attached figure

the solution is the point

therefore

the answer is

the solution of the system of equations is the point

Step-by-step explanation:

The given equation are

..... (1)

..... (2) Add both equations.

Subtract both sides by 2.

Divide both sides by 2.

Put this value in equation 1

Add 1 on the both sides.

Therefore the solution of given system of equations is (-1,1).

Solution of system of equation graphically.

Plot both lines on the graph.

Put x=0, the find the y-intercept of both equations.

Put x=1, the find the y-intercept of both equations. Therefore first line passing through the points (0,0) and (1,-1).

Put x=0, the find the y-intercept of both equations.

Similarly, put y=0 in second equation.

y-intercept of second equation is (-2,0).

Therefore second line passing through the points (0,2) and (-2,0).

From the graph it is noticed that both the line intersect on the point (-1,1), therefore solution of given system of equations is (-1,1).

The solution of given system of equations is (-1,1).