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Find the solution to the system of equations.
You can use the interactive graph below to find the solution.

{:[{[y=-4x-3],[y=-2x+1]:}],[x=],[y=]:}

Find the solution to the system of equations.\newlineYou can use the interactive graph below to find the solution.\newline{y=4x3y=2x+1x=y= \begin{array}{l} \left\{\begin{array}{l} y=-4 x-3 \\ y=-2 x+1 \end{array}\right. \\ x= \\ y= \end{array}

Full solution

Q. Find the solution to the system of equations.\newlineYou can use the interactive graph below to find the solution.\newline{y=4x3y=2x+1x=y= \begin{array}{l} \left\{\begin{array}{l} y=-4 x-3 \\ y=-2 x+1 \end{array}\right. \\ x= \\ y= \end{array}
  1. Set Equations Equal: Set the two equations equal to each other to find the xx-coordinate of the solution.\newlineSince both expressions are equal to yy, we can set them equal to each other:\newline4x3=2x+1-4x - 3 = -2x + 1
  2. Solve for x: Solve for x.\newlineTo isolate xx, we'll first add 4x4x to both sides of the equation to get rid of the 4x-4x on the left side:\newline4x+4x3=2x+4x+1-4x + 4x - 3 = -2x + 4x + 1\newlineThis simplifies to:\newline3=2x+1-3 = 2x + 1\newlineNext, we subtract 11 from both sides:\newline31=2x+11-3 - 1 = 2x + 1 - 1\newlineWhich simplifies to:\newline4=2x-4 = 2x\newlineNow, we divide both sides by 22 to solve for xx:\newline4x4x00\newlineThis gives us:\newline4x4x11
  3. Substitute xx Value: Substitute the value of xx into one of the original equations to find the yy-coordinate of the solution.\newlineWe can use either equation, but we'll use the first one for this example:\newliney=4(2)3y = -4(-2) - 3
  4. Calculate y Value: Calculate the value of yy.\newlineNow we multiply 4-4 by 2-2 and then subtract 33:\newliney=83y = 8 - 3\newliney=5y = 5