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{:[3x+y=3],[7x-y=2]:}
The given system of equations has solution
(x,y). What is the value of
x ?

$\begin{array}{l} 3 x+y=3 \\ 7 x-y=2 \end{array}$ $\newline$ The given system of equations has solution $(x, y)$ . What is the value of $x$ ?

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Mean, median, mode, and range: find the missing number

Full solution

Q.

\begin{array}{l} 3 x+y=3 \\ 7 x-y=2 \end{array}

\newline

The given system of equations has solution

(x, y)

. What is the value of

x

?

Write Equations: Write down the system of equations. $\newline$ We have the following system of equations: $\newline$ $3x + y = 3$ $\newline$ $7x - y = 2$ $\newline$ We need to find the value of $x$ .
Add Equations: Add the two equations together to eliminate $y$ . $(3x + y) + (7x - y) = 3 + 2$ This simplifies to: $3x + 7x = 5$
Combine Terms: Combine like terms to solve for $x$ . $3x + 7x = 10x$ $10x = 5$
Divide and Solve: Divide both sides of the equation by $10$ to solve for $x$ . $\newline$ $x = \frac{5}{10}$ $\newline$ $x = 0.5$

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