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This means you should not round values or cut oft decimal places Find the intersection of the lines represented by\newliney=3x7y=3x-7\newlineand\newliney=4x+7y=-4x+7.\newlinex=x= Number\newliney=y= Number

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Q. This means you should not round values or cut oft decimal places Find the intersection of the lines represented by\newliney=3x7y=3x-7\newlineand\newliney=4x+7y=-4x+7.\newlinex=x= Number\newliney=y= Number
  1. Set Equations Equal: Set the two equations equal to each other to find the xx-coordinate of the intersection point.\newlineSince both expressions are equal to yy, we can set them equal to each other:\newline3x7=4x+73x - 7 = -4x + 7
  2. Solve for x: Solve for x by adding 4x4x to both sides of the equation and adding 77 to both sides.\newline3x+4x7+7=4x+4x+7+73x + 4x - 7 + 7 = -4x + 4x + 7 + 7\newline7x=147x = 14
  3. Divide by 77: Divide both sides by 77 to find the value of x.\newline7x÷7=14÷77x \div 7 = 14 \div 7\newlinex=2x = 2
  4. Substitute for yy: Substitute the value of xx back into one of the original equations to find the yy-coordinate of the intersection point. We can use y=3x7y = 3x - 7.\newliney=3(2)7y = 3(2) - 7\newliney=67y = 6 - 7\newliney=1y = -1

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