• Math

  Algebra

  Posted by Chel Zy on September 27, 2024 at 4:28 pm

  Solve for y: 4y + 9 = 2y – 5

  Mawar Tanjung replied 1 week, 5 days ago 2 Members · 1 Reply
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  Mawar Tanjung

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  September 30, 2024 at 12:34 pm

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  To solve for <math xmlns=”http://www.w3.org/1998/Math/MathML”><semantics><mrow><mi>y</mi></mrow><annotation encoding=”application/x-tex”>y</annotation></semantics></math>y in the equation <math xmlns=”http://www.w3.org/1998/Math/MathML”><semantics><mrow><mn>4</mn><mi>y</mi><mo>+</mo><mn>9</mn><mo>=</mo><mn>2</mn><mi>y</mi><mo>−</mo><mn>5</mn></mrow><annotation encoding=”application/x-tex”>4y + 9 = 2y – 5</annotation></semantics></math>4y+9=2y−5, follow these steps:

  1. Subtract <math xmlns=”http://www.w3.org/1998/Math/MathML”><semantics><mrow><mn>2</mn><mi>y</mi></mrow><annotation encoding=”application/x-tex”>2y</annotation></semantics></math>2y from both sides:

     <math xmlns=”http://www.w3.org/1998/Math/MathML” display=”block”><semantics><mrow><mn>4</mn><mi>y</mi><mo>−</mo><mn>2</mn><mi>y</mi><mo>+</mo><mn>9</mn><mo>=</mo><mo>−</mo><mn>5</mn></mrow><annotation encoding=”application/x-tex”>4y – 2y + 9 = -5</annotation></semantics></math>4y−2y+9=−5
     <math xmlns=”http://www.w3.org/1998/Math/MathML” display=”block”><semantics><mrow><mn>2</mn><mi>y</mi><mo>+</mo><mn>9</mn><mo>=</mo><mo>−</mo><mn>5</mn></mrow><annotation encoding=”application/x-tex”>2y + 9 = -5</annotation></semantics></math>2y+9=−5

  2. Subtract 9 from both sides:

     <math xmlns=”http://www.w3.org/1998/Math/MathML” display=”block”><semantics><mrow><mn>2</mn><mi>y</mi><mo>=</mo><mo>−</mo><mn>5</mn><mo>−</mo><mn>9</mn></mrow><annotation encoding=”application/x-tex”>2y = -5 – 9</annotation></semantics></math>2y=−5−9
     <math xmlns=”http://www.w3.org/1998/Math/MathML” display=”block”><semantics><mrow><mn>2</mn><mi>y</mi><mo>=</mo><mo>−</mo><mn>14</mn></mrow><annotation encoding=”application/x-tex”>2y = -14</annotation></semantics></math>2y=−14

  3. Divide by 2:

     <math xmlns=”http://www.w3.org/1998/Math/MathML” display=”block”><semantics><mrow><mi>y</mi><mo>=</mo><mo>−</mo><mn>7</mn></mrow><annotation encoding=”application/x-tex”>y = -7</annotation></semantics></math>y=−7

  Thus, the solution is <math xmlns=”http://www.w3.org/1998/Math/MathML”><semantics><mrow><mi>y</mi><mo>=</mo><mo>−</mo><mn>7</mn></mrow><annotation encoding=”application/x-tex”>y = -7</annotation></semantics></math>y=−7.

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