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st #7 on Solving Quadratics (Sq Rt... 37 Solve the system: {[y=7x+1],[y=-5x+13]:}

st \#77 on Solving Quadratics (Sq Rt...\newline3737 Solve the system:\newline{y=7x+1y=−5x+13 \left\{\begin{array}{l} y=7 x+1 \\ y=-5 x+13 \end{array}\right.

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Q. st \#77 on Solving Quadratics (Sq Rt...\newline3737 Solve the system:\newline{y=7x+1y=−5x+13 \left\{\begin{array}{l} y=7 x+1 \\ y=-5 x+13 \end{array}\right.
  1. Set Equations Equal: Set the two equations equal to each other since they both equal yy.7x+1=−5x+137x + 1 = -5x + 13
  2. Add xx Terms: Add 5x5x to both sides to get all xx terms on one side.\newline7x+5x+1=137x + 5x + 1 = 13
  3. Combine Like Terms: Combine like terms. 12x+1=1312x + 1 = 13
  4. Isolate x Term: Subtract 11 from both sides to isolate the x term.\newline12x=1212x = 12
  5. Solve for x: Divide both sides by 1212 to solve for x.\newlinex=1x = 1
  6. Plug into First Equation: Plug x=1x = 1 into the first equation to solve for yy.\newliney=7(1)+1y = 7(1) + 1
  7. Calculate y Value: Calculate the value of y.\newliney = 7+17 + 1\newliney = 88

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