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

{:[{[y=-7x+3],[y=-x-3]:}],[x=],[y=]:}

Find the solution to the system of equations.\newlineYou can use the interactive graph below to find the solution.\newline{y=7x+3y=x3x=y= \begin{array}{l} \left\{\begin{array}{l} y=-7 x+3 \\ y=-x-3 \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=7x+3y=x3x=y= \begin{array}{l} \left\{\begin{array}{l} y=-7 x+3 \\ y=-x-3 \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 to find the xx-coordinate where they intersect.\newline7x+3=x3-7x + 3 = -x - 3
  2. Solve for x: Solve for x.\newlineTo solve for x, we will add 7x7x to both sides of the equation to get all x terms on one side.\newline7x+7x+3=x+7x3-7x + 7x + 3 = -x + 7x - 3\newline0x+3=6x30x + 3 = 6x - 3
  3. Isolate x Term: Isolate the xx term.\newlineNow, we will add 33 to both sides to isolate the xx term.\newline3+3=6x3+33 + 3 = 6x - 3 + 3\newline6=6x6 = 6x
  4. Divide to Find x Value: Divide both sides by 66 to find the value of x.\newline66=6x6\frac{6}{6} = \frac{6x}{6}\newline1=x1 = x
  5. Substitute xx for yy: Substitute xx back into one of the original equations to find yy. We can use either equation, but I'll use the first one: y=7x+3y = -7x + 3. y=7(1)+3y = -7(1) + 3
  6. Solve for y: Solve for y.\newliney=7+3y = -7 + 3\newliney=4y = -4