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(c) Use your graph to solve these simultaneous equations.

y=x+2" and "y=-3x-2

{:[x=],[y=]:}

qquad

1112102//M//1//10

(c) Use your graph to solve these simultaneous equations.\newliney=x+2 and y=3x2 y=x+2 \text { and } y=-3 x-2 \newlinex=y= \begin{array}{l} x= \\ y= \end{array} \newline \qquad \newline1112102/M/1/10 1112102 / \mathrm{M} / 1 / 10

Full solution

Q. (c) Use your graph to solve these simultaneous equations.\newliney=x+2 and y=3x2 y=x+2 \text { and } y=-3 x-2 \newlinex=y= \begin{array}{l} x= \\ y= \end{array} \newline \qquad \newline1112102/M/1/10 1112102 / \mathrm{M} / 1 / 10
  1. Set Equations Equal: Set the two equations equal to each other since they both equal yy.x+2=3x2x + 2 = -3x - 2
  2. Add xx Terms: Add 3x3x to both sides to get all xx terms on one side.\newlinex+3x+2=3x+3x2x + 3x + 2 = -3x + 3x - 2
  3. Simplify Equation: Simplify the equation. 4x+2=24x + 2 = -2
  4. Subtract 22: Subtract 22 from both sides to isolate the xx term.\newline4x+22=224x + 2 - 2 = -2 - 2
  5. Isolate x Term: Simplify the equation again.\newline4x=44x = -4
  6. Solve for x: Divide both sides by 44 to solve for x.\newlinex=44x = \frac{-4}{4}
  7. Calculate xx Value: Calculate the value of xx.x=1x = -1
  8. Plug in xx: Plug the value of xx into one of the original equations to solve for yy. Let's use y=x+2y = x + 2.\newliney=1+2y = -1 + 2
  9. Calculate y: Calculate the value of y.\newliney = 11

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