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Solve the system by substitution. {:[y=3x],[y=-2x-35]:} (◻,◻)

Solve the system by substitution.\newliney=3xy=−2x−35 \begin{array}{l} y=3 x \\ y=-2 x-35 \end{array} \newline(□,□) (\square, \square)

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Solve a system of equations in three variables using substitutionright chevron icon

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Q. Solve the system by substitution.\newliney=3xy=−2x−35 \begin{array}{l} y=3 x \\ y=-2 x-35 \end{array} \newline(□,□) (\square, \square)
  1. Identify Equations: Identify the two equations given in the system.\newlineThe system of equations is:\newliney=3xy = 3x\newliney=−2x−35y = -2x - 35
  2. Set Equations Equal: Since both equations are already solved for yy, we can set them equal to each other to find the value of xx.3x=−2x−353x = -2x - 35
  3. Combine Like Terms: Add 2x2x to both sides of the equation to combine like terms.\newline3x+2x=−2x+2x−353x + 2x = -2x + 2x - 35\newline5x=−355x = -35
  4. Solve for x: Divide both sides of the equation by 55 to solve for x.\newline5x5=−355\frac{5x}{5} = \frac{-35}{5}\newlinex=−7x = -7
  5. Substitute for y: Substitute the value of xx back into one of the original equations to solve for yy. We can use y=3xy = 3x.y=3(−7)y = 3(-7)y=−21y = -21
  6. Write Ordered Pair: Write the solution as an ordered pair (x,y)(x, y). The solution is (−7,−21)(-7, -21).

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