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{:[y=-3x],[4x-y=14]:} The given system of equations has solution (x,y). What is the value of x ?

y=−3x4x−y=14 \begin{aligned} y & =-3 x \\ 4 x-y & =14 \end{aligned} \newlineThe given system of equations has solution (x,y) (x, y) . What is the value of x x ?

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Domain and range of absolute value functions: equationsright chevron icon

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Q. y=−3x4x−y=14 \begin{aligned} y & =-3 x \\ 4 x-y & =14 \end{aligned} \newlineThe given system of equations has solution (x,y) (x, y) . What is the value of x x ?
  1. Write Equations: Write down the given system of equations.\newlineWe have the system of equations:\newline11) y=−3xy = -3x\newline22) 4x−y=144x - y = 14\newlineWe need to find the value of xx that satisfies both equations.
  2. Substitute yy: Substitute the expression for yy from the first equation into the second equation.\newlineSince y=−3xy = -3x, we can replace yy in the second equation with −3x-3x:\newline4x−(−3x)=144x - (-3x) = 14
  3. Simplify Equation: Simplify the equation by combining like terms.\newline4x+3x=144x + 3x = 14\newline7x=147x = 14
  4. Solve for x: Solve for x by dividing both sides of the equation by 77.\newlinex=147x = \frac{14}{7}\newlinex=2x = 2

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