Part B:
From the garph given, the solution to the system of equations will be the point where both lines intersect (where they meet).
The point of intersection is:
(x, y) ==> (2, 1)
Thus, we have the solution to the system of equations in the graph:
x = 2, y = 1
Part C:
Let's find the equation for both lines on the graph.
Use the slope-intercept form:
y = mx + b
where m is the slope and b is the y-intercept
For line 1:
Take the points:
(x1, y1) ==> (4, 0)
(x2, y2) ==> (0, 2)
Find the slope using the slope formula:

The y-intercept (b) is = 2
The slope(m) is = -½
Thus the equation of line 1 is:
y = -½x + 2
For line 2:
Take the points:
(x1, y1) ==> (0, -5)
(x2, y2) ==> (2, 1)
Find the slope:

The slope(m) is 3
The y-intercept(b) is -5
Thus, the equation of line 2 is:
y = 3x - 5
Therefore, we have the system of equations:

Let's solve the system.
Eliminate the equal sides and combine the equations
We have:
-½x + 2 = 3x - 5
Subtract 2 from both sides:
-½x + 2 - 2 = 3x - 5 - 2
-½x = 3x - 7
Multiply all terms by 2:

Subtract 6x from both sides:

Divide both sides by -7:

Substitute 2 for x in either of the equations.
Take equation 2:
y = 3x - 5
y = 3(2) - 5
y = 6 - 5
y = 1
Therefore, we have the solution to the system:
x = 2, y = 1
ANSWER:
x = 2, y = 1