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{:[3x-4y=10],[2x-4y=6]:}
If
(x,y) satisfies the given system of equations, what is the value of
y ?

$\begin{array}{l} 3 x-4 y=10 \\ 2 x-4 y=6 \end{array}$ $\newline$ If $(x, y)$ satisfies the given system of equations, what is the value of $y$ ?

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Write an equation word problem

Full solution

Q.

\begin{array}{l} 3 x-4 y=10 \\ 2 x-4 y=6 \end{array}

\newline

If

(x, y)

satisfies the given system of equations, what is the value of

y

?

Subtract and eliminate y: Subtract the second equation from the first to eliminate y: $\newline$ $3x - 4y = 10$ $\newline$ $2x - 4y = 6$ $\newline$ $(3x - 4y) - (2x - 4y) = 10 - 6$ $\newline$ $x = 4$
Substitute x and solve for y: Substitute x = $4$ back into one of the original equations to solve for y: $\newline$ $2x - 4y = 6$ $\newline$ $2(4) - 4y = 6$ $\newline$ $8 - 4y = 6$ $\newline$ $-4y = -2$ $\newline$ $y = \frac{-2}{-4}$ $\newline$ $y = 0.5$

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