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{:[y=8x+16],[y=5x+7]:}

y=8x+16y=5x+7 \begin{array}{l}y=8 x+16 \\ y=5 x+7\end{array}

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Full solution

Q. y=8x+16y=5x+7 \begin{array}{l}y=8 x+16 \\ y=5 x+7\end{array}
  1. Set Equations Equal: Set the two equations equal to each other since they both equal yy.8x+16=5x+78x + 16 = 5x + 7
  2. Subtract xx Terms: Subtract 5x5x from both sides to get the xx terms on one side.\newline8x−5x+16=5x−5x+78x - 5x + 16 = 5x - 5x + 7
  3. Combine Like Terms: Simplify the equation by combining like terms. 3x+16=73x + 16 = 7
  4. Isolate x Term: Subtract 1616 from both sides to isolate the xx term.\newline3x+16−16=7−163x + 16 - 16 = 7 - 16
  5. Divide to Solve xx: Simplify the equation by performing the subtraction.3x=−93x = -9
  6. Find xx Value: Divide both sides by 33 to solve for xx.3x3=−93\frac{3x}{3} = \frac{-9}{3}
  7. Plug into Equation: Simplify the division to find the value of xx.x=−3x = -3
  8. Multiply and Add: Plug the value of xx into one of the original equations to solve for yy.y=8(−3)+16y = 8(-3) + 16
  9. Simplify Addition: Multiply 88 by −3-3 and add 1616 to find the value of yy.\newliney=−24+16y = -24 + 16
  10. Simplify Addition: Multiply 88 by −3-3 and add 1616 to find the value of yy.y=−24+16y = -24 + 16 Simplify the addition to find the value of yy.y=−8y = -8

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