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Estimate the solution to the system of equations. You can use the interactive graph below to find the solution. {[y=4x-2],[y=x+3]:} Choose 1 answer: (A) x=(2)/(3),y=4(2)/(3) (B) x=1(2)/(3),y=3(2)/(3) (C) x=1(2)/(3),y=4(2)/(3) (0) 2quad-2 3 of 5

Estimate the solution to the system of equations.\newlineYou can use the interactive graph below to find the solution.\newline{y=4x−2y=x+3 \left\{\begin{array}{l} y=4 x-2 \\ y=x+3 \end{array}\right. \newlineChoose 11 answer:\newline(A) x=23,y=423 x=\frac{2}{3}, y=4 \frac{2}{3} \newline(B) x=123,y=323 x=1 \frac{2}{3}, y=3 \frac{2}{3} \newline(C) x=123,y=423 x=1 \frac{2}{3}, y=4 \frac{2}{3} \newline(00) 2−2 2 \quad-2 \newline33 of 55

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Q. Estimate the solution to the system of equations.\newlineYou can use the interactive graph below to find the solution.\newline{y=4x−2y=x+3 \left\{\begin{array}{l} y=4 x-2 \\ y=x+3 \end{array}\right. \newlineChoose 11 answer:\newline(A) x=23,y=423 x=\frac{2}{3}, y=4 \frac{2}{3} \newline(B) x=123,y=323 x=1 \frac{2}{3}, y=3 \frac{2}{3} \newline(C) x=123,y=423 x=1 \frac{2}{3}, y=4 \frac{2}{3} \newline(00) 2−2 2 \quad-2 \newline33 of 55
  1. Identify Equations: Identify the equations from the problem.\newlineWe have two equations:\newline11. y=4x−2y = 4x - 2\newline22. y=x+3y = x + 3
  2. Set Equations Equal: Set the equations equal to each other to find xx.4x−2=x+34x - 2 = x + 3Solve for xx:4x−x=3+24x - x = 3 + 23x=53x = 5x=53x = \frac{5}{3}x=1.67x = 1.67
  3. Solve for x: Substitute x=1.67x = 1.67 into either equation to find yy. Using y=x+3y = x + 3: y=1.67+3y = 1.67 + 3 y=4.67y = 4.67
  4. Substitute xx into Equation: Match the solution (x=1.67,y=4.67)(x = 1.67, y = 4.67) with the given choices.\newlineThe closest match is:\newline(C) x=123x = 1\frac{2}{3}, y=423y = 4\frac{2}{3}

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