Question

Use the system of equations below to answer the questions 1-3. -2x + y = 4 2x + 3y = 20 1) Which of the following problems is created by using the elimination method on the system above? a) 4x + 4y = 24 b) 4y = 24 c) - 4x + 3y = 24 d) - 2y = 16 2) Find the value of y. Show all of your work. 3) Find the value of x. Show all of your work.

Answer 1

1. 4y = 24

2. y = 6

3. x = 1

Step-by-step explanation:

Given the below equations;

`\begin{gathered} -2x+y=4 \\ 2x+3y=20 \end{gathered}`

Let's go ahead and eliminate x by adding both equations together, we'll have;

`4y=24`

Let's find y by dividing both sides of the 4;

`\begin{gathered} (4y)/(4)=(24)/(4) \\ y=6 \end{gathered}`

Since y = 6, let's find x using the 1st equation;

`\begin{gathered} -2x+6=4 \\ -2x=4-6 \\ x=(-2)/(-2) \\ x=1 \end{gathered}`