Question

On the grid, draw the graphs of y = x + 2 and x + y = 3.

Use the graphs to solve the simultaneous linear equations y = x + 2
and x + y = 3
4
3
+44
2
10 && # 4
2
3
2 3 4 5
X
X = Answer
y = Answer

Answer 1

(0.5, 2.5)

Explanation:

See the attached worksheet. Pick any two values for x and find the two values of y generated by each equation. That will give us 2 points for each line. Since they are linear equations, we can draw a straight line between the two points.

The point at which the two lines intersect is the solution: It is a points that falls on both lines. Drawing these by hand on a computer is difficult, so use a free online graphing utility such as DESMOS. The DESMOS graph is also attached and it is from that that the (0.5, 2.5) point is identified.