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

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Solve equations involving like terms

Full solution

Q. The given system of equations has solution

(x,y)

. What is the value of

x

?

\newline

3x+y=3

\newline

7x-y=2

Add Equations Together: Add the two equations together to eliminate $y$ . $(3x + y) + (7x - y) = 3 + 2$
Combine Like Terms: Combine like terms. $3x + 7x = 10x$ and $y - y = 0$ , so $10x = 5$
Divide to Solve: Divide both sides by $10$ to solve for x. $\newline$ $\frac{10x}{10} = \frac{5}{10}$
Simplify to Find x: Simplify the equation to find the value of $x$ . $x = 0.5$

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