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Can someone help me with this math? explain your answer too.​

Can someone help me with this math? explain your answer too.​-example-1

1 Answer

3 votes

Answer:

1. Consistent independent.

2. Coincident

3. Inconsistent.

Explanation:

4x + y = 8

x + 3y = 8 Multiply this equation by -4:

-4x - 12y = -32

Adding this to the first equation:

-11y = -24 giving y = -24/-11 = 2.18

Substituting in the first second equation:

x + 3(2.18) = 8 giving x = 1.46.

So this system of equations has roots (1.46, 2.18) and is consistent independent.

2.

-4x + 6y = -2

2x - 3y = 1 Multiply this by -2:

-4x + 6y = -2

So these 2 equations are the same and will give the same graph on the coordinate plane, and so has:

Infinite solutions and is coincident.

3.

5x - 2y = 4

5x - 2y = 6

We can see immediately that this system of equations has NO Solutions.

If we subtract the 2 equations we get:

0 = -2 which is of course, absurd.

Classification Inconsistent.

User Andrey Semakin
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