Solve each of the following systems of equations graphically: 2x + 3y – 4 = 0, 3x – y + 5 = 0

Question

Philoid · Accepted Answer

We can rewrite the equations as:

2x + 3y = 4

& 3x – y = - 5

For equation, 2x + 3y = 4

First, take x = 0 and find the value of y.

Then, take y = 0 and find the value of x.

x	0	2
y	4/3	0

Now similarly solve for equation, 3x – y = - 5

x	0	- 5/3
y	5	0

Plot the values in a graph and find the intersecting point for the solution.

Hence, the solution so obtained from the graph is ( - 1,2), which is the intersecting point of the two lines.