Name: Linear Equation Word Problem
Uploaded: 2019-07-19
Duration: 2 min
Description: Playing with numbers is a lot of fun! It’s just that you need to make them your friends! Let’s learn to solve linear equations that involve some interesting...

Question

Draw the graph of

2 x + 3 y = 9

. Using the graph, check whether

(3, 1)

and

(- 1, 2)

are solutions of the given equation.

Accepted Answer

We are given to draw the graph of $2 x + 3 y = 9$ .

We have, $2 x + 3 y = 9$

$\Rightarrow 3 y = 9 - 2 x$

$\Rightarrow y = \frac{9 - 2 x}{3}$

The table of values for the graph are

$x$ $6$ $0$ $- 3$

$y$ $- 1$ $3$ $5$

We plot the points $(6, - 1), (0, 3)$ and $(- 3, 5)$ on the graph paper and obtain the line $P Q$ which is the graph of the equation $2 x + 3 y = 9$ .

To check whether $(3, 1)$ is a solution to the given equation.

We draw a vertical line parallel to the $y$ axis from the point $x = 3$ , such that it intersects with the graph. Now, we draw a horizontal line from this point of intersection to the left and observe that it is intersecting with the mark $(- 1, 2)$ on the $y$ axis. Hence, the point $(3, 1)$ is a solution to the given equation.

To check whether $(- 1, 2)$ is a solution to the given equation.

We draw a vertical line parallel to the $y$ axis, such that it intersects with the graph. Now, we draw a horizontal line from this point of intersection to the right and observe that it is not intersecting with the mark $2$ on the $y$ axis. Hence, the point $(- 1, 2)$ is not a solution to the given equation.

Draw the graph of $2 x + 3 y = 9$ . Using the graph, check whether $(3, 1)$ and $(- 1, 2)$ are solutions of the given equation.

Important Questions on Linear Equations in Two Variables

Learn and Prepare for any exam you want !

Draw the graph of 2x+3y=9. Using the graph, check whether 3,1 and -1,2 are solutions of the given equation.

Important Questions on Linear Equations in Two Variables

Learn and Prepare for any exam you want !

Draw the graph of $2 x + 3 y = 9$ . Using the graph, check whether $(3, 1)$ and $(- 1, 2)$ are solutions of the given equation.