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Find the solution to the system of equations. You can use the interactive graph below to find the solution. {[y=x-4],[y=4x+2]:} {:[x=],[y=]:}

Find the solution to the system of equations.\newlineYou can use the interactive graph below to find the solution.\newline{y=x−4y=4x+2 \left\{\begin{array}{l} y=x-4 \\ y=4 x+2 \end{array}\right. \newlinex=y= \begin{array}{l} x= \\ y= \end{array}

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Q. Find the solution to the system of equations.\newlineYou can use the interactive graph below to find the solution.\newline{y=x−4y=4x+2 \left\{\begin{array}{l} y=x-4 \\ y=4 x+2 \end{array}\right. \newlinex=y= \begin{array}{l} x= \\ y= \end{array}
  1. Set Equations Equal: To find the solution to the system of equations, we need to set the two equations equal to each other since they both equal yy. So, we have x−4=4x+2x - 4 = 4x + 2.
  2. Solve for x: Next, we will solve for xx by getting all the xx terms on one side and the constants on the other side.\newlineSubtract xx from both sides to get: −4=3x+2-4 = 3x + 2.
  3. Isolate xx Term: Now, subtract 22 from both sides to isolate the term with xx: −6=3x-6 = 3x.
  4. Substitute x Value: Divide both sides by 33 to solve for x: x=−2x = -2.
  5. Calculate y Value: Now that we have the value of xx, we can substitute it back into either of the original equations to find the value of yy. Let's use the first equation y=x−4y = x - 4. Substitute x=−2x = -2 into the equation: y=−2−4y = -2 - 4.
  6. Calculate y Value: Now that we have the value of xx, we can substitute it back into either of the original equations to find the value of yy. Let's use the first equation y=x−4y = x - 4. Substitute x=−2x = -2 into the equation: y=−2−4y = -2 - 4. Calculate the value of yy: y=−6y = -6.

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