Answer
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
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!!!
