Question

Draw the graph of equation 2x-3y=5 . From the graph, find
the value of y when x=4​

Answer 1

Step-by-step explanation:

Answer and Explanation :

Given : Equation 2x-3y=52x−3y=5

To find : Draw the graph of the equation?

1) The value of y when x=4?

2) The value of x when y=3?

Solution :

First we plot the equation in the graphing tool,

Put x=0

2(0)-3y=52(0)−3y=5

y=-\frac{5}{3}y=−

3

5

Put y=0

2x-3(0)=52x−3(0)=5

x=\frac{5}{2}x=

2

5

Using points (0,-\frac{5}{3}) , (\frac{5}{2},0)(0,−

3

5

),(

2

5

,0)

Refer the attached figure below.

1) Put x=4

2(4)-3y=52(4)−3y=5

8-3y=58−3y=5

3y=33y=3

y=1y=1

When x=4 the value of y=1.

2) Put y=3

2x-3(3)=52x−3(3)=5

2x-9=52x−9=5

2x=142x=14

x=7x=7

When y=3 the value of x=7.