Question

draw the graph of equation 2x - 3y = 5.from graph (i) find the value of y when x=4 (ii)thr value of x when y=3​

Answer 1

Answer : y=3 and x=7

Step-by-step explanation:It is given  

2x−3y=5

we can write it as

3y=2x−5

So we get  

y=  

3

2x−5

​

 

Substituting x=4 in the given equation  

y=  

3

2(4)−5

​

 

So we get

Y=  

3

8−5

​

 

y=  

3

3

​

 

By division we get

y=1

Substituting x=−2 in the given equation  

y=  

3

2(−2)−5

​

 

So we get

y=  

3

−4−5

​

 

y=  

3

−9

​

 

By division we get

y=−3

 

x 4       -2

y      1        -3

Now draw a graph using the points (4,1) and (−2,3)  

Join the point through a line and find the value of y

(i) Based on the graph

consider x=4 on X-axis  

Now the line joining the two points and a point on the Y-axis gives the value of y  

Therefore,when x=4 the value of y=1

(ii) Based on the graph,

Consider y=3 on Y-axis

Now the line joining the two points and a point on the X-axis the value of x  

Therefore, when y=3 the value of x=7