Question

Write four solutions of the equestion
-2x+y=7

Answer 1

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given equation =y-2x=7

so ,it's solutions is

1.let x=2

therefore,y=7+2*2

y=7+4=11

2.let x=1

therefore, y=7+2*1

y=7+2=9

3.x=-2

therefore, y=7+2*-2

y=7-4=3

4.let x=-1

therefore, y=7+2*-1

y=7-2=5

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Answer 2

Answer:

$\begin{array}{|c|c|}\cline{1-2} \bold{x} & \bold{y} \\ \cline{1-2} 0 &7 \\ \cline{1-2} 1 & 9 \\ \cline{1-2} -1 & 5 \\ \cline{1-2} 2&11 \\ \cline{1-2}\end{array}$.

Step-by-step explanation:

Given Equation: -2x + y = 7

Since, this is a linear equation in 2 variables, it has infinite no. of solutions.

Let x be 0.

Then, -2(0) + y = 7 or, y = 7

So, (0, 7) is a solution of the equation -2x + y = 7.

Similarly, we can find infinite solutions for any linear equation in 2 variables.

Let x be 1.

Then, -2(1) + y = 7 Or, y = 7 + 2 = 9.

So, another solution for this is (1, 9).

Let x be -1.

Then -2(-1) + y = 7 or, y = 7 - 2 = 5

So, another solution for this eqn. is (-1, 5)

Now, let's find the fourth solution.

Let x be 2.

Then, -2(2) + y = 7 or, y = 11.

So, another solution for this equation is (2, 11).

These solutions can be tabulated as below:

$\begin{array}{|c|c|}\cline{1-2} \bold{x} & \bold{y} \\ \cline{1-2} 0 &7 \\ \cline{1-2} 1 & 9 \\ \cline{1-2} -1 & 5 \\ \cline{1-2} 2&11 \\ \cline{1-2}\end{array}$.