• Math

  Algebra

  Posted by Dinusha Fernando on September 26, 2024 at 4:50 pm

  Solve for y: 3(y – 4) = 15

  Mawar Tanjung replied 1 week ago 2 Members · 1 Reply

  • #algebra
• 1 Reply

• 

  Mawar Tanjung

  Member

  September 27, 2024 at 12:56 pm

  Helpful

  Up

  0

  Down

  Not Helpful

  ::

  To solve the equation <math xmlns=”http://www.w3.org/1998/Math/MathML”><semantics><mrow><mn>3</mn><mo stretchy=”false”>(</mo><mi>y</mi><mo>−</mo><mn>4</mn><mo stretchy=”false”>)</mo><mo>=</mo><mn>15</mn></mrow><annotation encoding=”application/x-tex”>3(y – 4) = 15</annotation></semantics></math>3(y−4)=15:

  1. Distribute the 3:

     <math xmlns=”http://www.w3.org/1998/Math/MathML” display=”block”><semantics><mrow><mn>3</mn><mi>y</mi><mo>−</mo><mn>12</mn><mo>=</mo><mn>15</mn></mrow><annotation encoding=”application/x-tex”>3y – 12 = 15</annotation></semantics></math>3y−12=15

  2. Add 12 to both sides:

     <math xmlns=”http://www.w3.org/1998/Math/MathML” display=”block”><semantics><mrow><mn>3</mn><mi>y</mi><mo>=</mo><mn>27</mn></mrow><annotation encoding=”application/x-tex”>3y = 27</annotation></semantics></math>3y=27

  3. Divide by 3:

     <math xmlns=”http://www.w3.org/1998/Math/MathML” display=”block”><semantics><mrow><mi>y</mi><mo>=</mo><mn>9</mn></mrow><annotation encoding=”application/x-tex”>y = 9</annotation></semantics></math>y=9

  So, <math xmlns=”http://www.w3.org/1998/Math/MathML”><semantics><mrow><mi>y</mi><mo>=</mo><mn>9</mn></mrow><annotation encoding=”application/x-tex”>y = 9</annotation></semantics></math>y=9.

Log In to Reply