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2 Find the value of x if 3x+4=19. 3 Find the value of y when 2y−7=21.

Mathematics

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Here are the solutions to the problems:

: Find the value of xx if 3x+4=193x + 4 = 19.

  1. Subtract 4 from both sides of the equation to isolate the term with xx.

    3x+4−4=19−43x + 4 - 4 = 19 - 4 3x=153x = 15
  2. Divide both sides by 3 to solve for xx.

    3x3=153\frac{3x}{3} = \frac{15}{3} x=5x = 5

    The value of xx is 5\boxed{\text{5}}.

    : Find the value of yy when 2y−7=212y - 7 = 21.

  3. Add 7 to both sides of the equation to isolate the term with yy.

    2y−7+7=21+72y - 7 + 7 = 21 + 7 2y=282y = 28
  4. Divide both sides by 2 to solve for yy.

    2y2=282\frac{2y}{2} = \frac{28}{2} y=14y = 14

    The value of yy is 14\boxed{\text{14}}.

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