Question

Solve the following system of equations graphically. Click on the graph until the correct solution of the system appears. 2x+y=2 x-y=1 (1,0)

Answer 1

The graph of the system of equations is

The red line represent 2x + y = 2

The blue line represents x - y = 1

We can see from the graph that the two lines intersect at the point (1, 0)

Hence, the solution of this system of equation is

x = 1

y = 0

Step-by-step explanation

The solution to solving a system of equations graphically exists at the point where the lines that represents each of the equations intersect with each other.

So, I will quickly make a plot of the two lines using intercepts based on the equations given

2x + y = 2

x - y = 1

2x + y = 2

when x = 0

2(0) + y = 2

y = 2

First point on the line is (0, 2)

when y = 0

2x + 0 = 2

2x = 2

x = 1

Second point on the line is (1, 0)

x - y = 1

when x = 0

0 - y = 1

-y = 1

y = -1

First point on the line is (0, -1)

when y = 0

x - 0 = 1

x = 1

Second poit on the line is (1, 0)

The graph is presented under 'Answer' above.

Hope this Helps!!!