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{:[3x+2y=8],[2x-y=3]:}
What is the solution
(x,y) to the given system of equations?
A)
(3,2)
B)
(2,3)
C)
(1,2)
D)
(2,1)

$\begin{array}{c} 3 x+2 y=8 \\ 2 x-y=3 \end{array}$ $\newline$ What is the solution $(x, y)$ to the given system of equations? $\newline$ A) $(3,2)$ $\newline$ B) $(2,3)$ $\newline$ C) $(1,2)$ $\newline$ D) $(2,1)$

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Write an equation word problem

Full solution

Q.

\begin{array}{c} 3 x+2 y=8 \\ 2 x-y=3 \end{array}

\newline

What is the solution

(x, y)

to the given system of equations?

\newline

A)

(3,2)

\newline

B)

(2,3)

\newline

C)

(1,2)

\newline

D)

(2,1)

Write Equations: Step $1$ : Write down the system of equations. $\newline$ \begin{cases}3x+2y=8\2x-y=3\end{cases}
Solve for $y$ : Step $2$ : Solve for $y$ from the second equation. $y = 2x - 3$
Substitute and Simplify: Step $3$ : Substitute $y$ in the first equation. $3x + 2(2x - 3) = 8$ $3x + 4x - 6 = 8$ $7x - 6 = 8$
Solve for x: Step $4$ : Solve for x. $\newline$ $7x = 14$ $\newline$ $x = 2$
Substitute $x$ for $y$ : Step $5$ : Substitute $x$ back into the equation for $y$ . $y = 2(2) - 3$ $y = 4 - 3$ $y = 1$

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