Draw the graph of y = 2x/3 – 5 and find the value of x when y = 3.
Answers
Answer: 7
Step-by-step explanation: Solution
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