Question

How do you find three solutions of the equation y = 9x – 4 ?

Answer 1

Hint:In the given question, we have been asked to find the three solutions of the given equation. To find the three different solutions, we need to put the different values of ‘x’ and we will get the respective value of ‘y’ corresponding to the value of ‘x’. We will take different values of ‘x’ one by one and solve the given equation for the value of ‘y’. In this way we will get the answer to this question.

Complete step by step answer:
We have given that, \[y=9x-4\].
Now,
Set 1: Putting x = 0
\[y=9x-4\]
\[\Rightarrow y=9\left( 0 \right)-4\]
Multiplying 0 by 9, we get
\[y=0-4\]
Simplifying the above expression, we get
\[y=-4\]
Hence, the first solution of \[y=9x-4\] is (x, y) = (0, -4).

Set 2: Putting x = 1
\[y=9x-4\]
\[\Rightarrow y=9\left( 1 \right)-4\]
Multiplying 1 by 9, we get
\[y=9-4\]
Simplifying the above equation, we get
\[y=5\]
Hence, the second solution of \[y=9x-4\] is (x, y) = (1, 5).

Set 3: Putting x = 2
\[y=9x-4\]
\[\Rightarrow y=9\left( 2 \right)-4\]
Multiplying 2 by 9, we get
\[y=18-4\]
Simplifying the above equation, we get
\[y=14\]
Hence, the second solution of \[y=9x-4\] is (x, y) = (2, 14).

Hence, the three solutions of the equation \[y=9x-4\] are (0, -4),(1, 5) and (2, 14).

Note:While solving these types of questions, students need to remember that they just have to substitute different values of ‘x’ and solve the resultant equation for the value of ‘y’. In the given question, we have been just asked to find three solutions whereas they can be asked as many as they want. So you just need to put different values of ‘x’ and solve for the ‘y’. Students need to be very careful while doing the calculation part to avoid making errors.