Question

6. Draw the graph of the linear equation 2x - y = 2. From
the graph drawn, find the value of:
(a) x when value of y is -8.​

Answer 1

Answer:

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