1 Answer

Jakeline · Answer 1 · 2023-07-22T21:51:56+0000

You have the following system of equations:

y = -1/2 x + 4 1/2

2 = y - 2x

In order to find the value of x of the previous system, proceed as follow:

- Solve the second equation for y:

y = 2x + 2

- Replace the previous expression for y into the first equation and solve for x:

$\begin{gathered} 2x+2=-(1)/(2)x+4(1)/(2) \\ 2x+2=-(1)/(2)x+(9)/(2) \\ 2x+(1)/(2)x=(9)/(2)-2 \\ (5)/(2)x=(5)/(2) \\ x=1 \end{gathered}$

Hence, the value of x is x = 1

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