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$y = -3x$ $\newline$ $4x-y=14$ $\newline$ The given system of equations has solution $(x,y)$ . What is the value of $x$ ?

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Solve trigonometric equations

Full solution

Q.

y = -3x

\newline

4x-y=14

\newline

The given system of equations has solution

(x,y)

. What is the value of

x

?

Write Equations: Write down the given system of equations. $\newline$ The system of equations is: $\newline$ $1$ ) $y = -3x$ $\newline$ $2$ ) $4x - y = 14$ $\newline$ We need to find the value of $x$ that satisfies both equations.
Substitute $y$ : Substitute the expression for $y$ from the first equation into the second equation. $\newline$ From equation $1$ ) we have $y = -3x$ . We can substitute this into equation $2$ ) to get: $\newline$ $4x - (-3x) = 14$
Simplify Equation: Simplify the equation after substitution. $\newline$ $4x + 3x = 14$ $\newline$ $7x = 14$
Solve for x: Solve for x. $\newline$ Divide both sides of the equation by $7$ to isolate x: $\newline$ $\frac{7x}{7} = \frac{14}{7}$ $\newline$ $x = 2$

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