Question

WILL fan & medal

The system of equations is inconsistent.

What are the missing values?

5x + ___y = 2
___x + 3y = 8

Answer 1

Okay. An easy way to determine if two lines are parallel from the given form above...

Ax + By = E
Cx + Dy = F

If the constants are a multiple of one another than the lines are parallel. If you can multiply, Ax+By by some number , and get Cx+Dy, the lines will be parallel.

Answer 2

o if you let the first equation be...

5x + 1y = 2

you can see that the second equation will be 3 times the first, The first will have 1y, and the second has 3y.
So you have to multiply the 5x by 3

Answer 3

3*(5x + 1y) ---> 15x + 3y

Here is a good reference for these types of probs...

http://www.algebra.com/algebra/homework/coordinate/Types-of-systems-inconsistent-dependent-independent.lesson

Answer 4

A step further, if you multiply the first equation by a constant number, and not only the values on the X and Y become the same, but also the value on the Right of the = sign becomes the same, then Both are the same line.
For example

4X + 5Y = 5
8X + 10Y =10

The second equation is just 2 times the first equation. Both are the same line, they overlap. They have Infinitely many solutions, and are dependent.

Answer 5

Hope this helped! Have a great day!

@ImaMermaid29