How many solutions does this linear system have? y = 2x – 5 –8x – 4y = –20

Step-by-step explanation:

Equations  have

1.unique solution if

2. infinite solutions if

3. no solution if

We can write equations: as follows:

On comparing these equations with standard equations , we get

such that

Here,

So, according to the facts explained above,

The given linear system has a unique solution i.e only one solution.

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

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-lavira : )