Question

I need help with this problem. the answer i got was that there is no solution. is that correct?

Answer 1

Step-by-step explanation:

To solve the equations by Elimination we can multiply the first equation by -2.5 as follows:

`\begin{gathered} (2x+8y=6)\cdot(-2.5) \\ -2.5\cdot2x-2.5\cdot8y=-2.5\cdot6 \\ -5x-20y=-15 \end{gathered}`

Now, we can add this equation to the second equation as follows:

- 5x - 20y = - 15

5x + 20y = 15

0 + 0 = 0

0 = 0

When we get 0=0, the system has infinite solutions

So, this system has solutions with the form:

(x, y) where 2x + 8y = 6

It also means that both equations, 2x + 8y = 6 and 5x + 20y = 15 are equivalent equations and the solutions of the first one are also the solutions of the second one.