Question

using the graphing functions on your calculator, find the solution to the system of the equations shown below. y-2x=-2y-x=1a. x=3, y=4b. more than one solution c.x=4, y=3d. no solution

Answer 1

Given the system of the equations shown below:

`\begin{gathered} y-2x=-2 \\ y-x=1 \end{gathered}`

I will solve your system by substitution.

(You can also solve this system by elimination.)

`\begin{gathered} y-2x=-2.......(1) \\ \frac{y-x=\text{ }1}{-x=-3}........(2)\text{ subtract equ\lparen2\rparen from equ\lparen1\rparen} \\ x=3 \end{gathered}`

Substitute the value of x in equ(1)

`\begin{gathered} y-2x=-2 \\ y-2(3)=-2 \\ y-6=-2 \\ y=-2+6 \\ y=4 \end{gathered}`

Therefore the value of x = 3, y = 4

Correct answer = Option A