Question

Find four solutions of the linear equation 5x – 4y = - 8​

Answer 1

First of all, let's rearrange the given equation:

$\longrightarrow\sf{5x - 4y = - 8}$

$\longrightarrow\sf{5x = - 8 + 4y}$

Now, we have gained our final equation.

Let's find four solutions with the same equation.

We can find out as much as solutions of the equations by finding one of values of x & y. We can put as much as no.s in the terms of x or y & then we can find as much as no.of solutions in equation.

$\textit{1)}$

• Placing y = 0,

$\\ \longrightarrow\sf{5x = - 8 + 4 \times (0)} \\ \\ \longrightarrow\sf{5x = - 8 + 0} \\ \\ \longrightarrow\sf{5x = - 8} \\ \\ \longrightarrow\sf{x = - \frac{8}{5} }$

$\textit{2)}$

• Placing y = 1,

$\\ \longrightarrow\sf{5x = - 8 + 4 \times (1)} \\ \\ \longrightarrow\sf{5x = - 8 + 4} \\ \\ \longrightarrow\sf{5x = - 4} \\ \\ \longrightarrow\sf{x = - \frac{4}{5} }$

Thus,

$\therefore$ We can find out as much as solutions we want.

Answer 2

$\sf Given \; that \begin{cases} & \sf{Equation = \bf{5x \: -4y \: = \: -8}} \end{cases}$

4 solutions of questy -

Solution 1. -8/5

Solution 2. -4/5

Solution 3. 0/5

Solution 4. 4/5

What question says ?

This question says that there is a linear equation given as 5x – 4y = - 8 Afterthat this question says that we have to find 4 such solutions of the given equation.

Rearranged equation -

✰ $\footnotesize{\bf{5x \: - \: 4y \: = \: - 8}}$

✰ $\footnotesize{\bf{5x \: = \: - 8 \: + \: 4y}}$

Procedure -

To solve this question we have to follow this procedure –

The procedure is very very and very easy guys. So finally let's see the procedure now to solve it we have to use the rearranged or new Equation firstly write it as it is ; afterthat starting find the 1st solution we have to put a sign of multiply after writting new Equation afterthat start solving the values (add / subtract / multiply / divide) or else. At last at the end we get our final results. Same to do for finding the next solutions also like 2nd , 3rd , 4th and so on.

Full solution -

Solution 1

$\small{\bf{5x \: = \: -8 \: + \: 4y \: \times \: 0}}$

$\small{\bf{5x \: = \: -8 \: + 0}}$

$\small{\bf{5x \: = \: -8}}$

$\small{\bf{x \: = \: \frac{ -8 }{5}}}$

Solution 2

$\small{\bf{5x \: = \: -8 \: + \: 4 \: \times \: 1}}$

$\small{\bf{5x \: = \: -8 \: + 4}}$

$\small{\bf{5x \: = \: -4}}$

$\small{\bf{x \: = \: \frac{- 4}{5}}}$

Solution 3

$\small{\bf{5x \: = \: -8 \: + \: 4 \: \times \: 2}}$

$\small{\bf{5x \: = \: -8 \: +8}}$

$\small{\bf{5x \: = \: 0}}$

$\small{\bf{x \: = \: \frac{0}{5}}}$

Solution 4

$\small{\bf{5x \: = \: -8 \: + \: 4 \: \times \: 3}}$

$\small{\bf{5x \: = \: -8 \: +12}}$

$\small{\bf{5x \: = \: 4}}$

$\small{\bf{x \: = \: \frac{4}{5}}}$