Question

Enter your solution as an ordered pair, with no spaces and with parentheses. OR the answer could be: Infinitely many OR No Solution

Answer 1

Given the equation system:

`\begin{gathered} 1)y=4x \\ 2)3x+2y=55 \end{gathered}`

The first step is to replace the first equation in the second equation

`3x+2(4x)=55`

With this, we have a one unknown equation. Now we can calculate the value of x:

`\begin{gathered} 3x+8x=55 \\ 11x=55 \\ (11x)/(11)=(55)/(11) \\ x=5 \end{gathered}`

Now that we know the value of x, we can determine the value of y, by replacing x=5 in the first equation

`\begin{gathered} y=4x \\ y=4\cdot5 \\ y=20 \end{gathered}`

This system has only one solution and that is (5,20)