Question

How many solutions do the TWO equations have?

15y + 12x = 18 5y + 4x = 6
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2x+ 3y= 12 -6y= 4x-24

^^^ SEPERATE EQUATIONS

Answer 1

Below.

Explanation:

15y + 12x = 18

5y + 4x = 6

The second equations is the first times 3 so they are basically the same.

Infinite Solutions.

2x+ 3y= 12

-6y= 4x-24 Rearranging the second equation:

-4x - 6y = -24 Multiplying the first equation by 2:

4x + 6y = 24

- we see that the last equation is -1 * previous equation.

So there are infinite solutions.