Maths-
General
Easy
Question
Solve the equation ![fraction numerator x plus 3 over denominator 4 end fraction equals fraction numerator x plus 2 over denominator 2 end fraction](data:image/png;base64,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)
Hint:
○ To get the value of x first cross multiply with their denominator.
○ Then perform basic operations to get value of x.
The correct answer is: x = -1
○ Given:
Equation: ![fraction numerator x plus 3 over denominator 4 end fraction equals fraction numerator x plus 2 over denominator 2 end fraction](data:image/png;base64,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)
○ Step 1:
○ Cross multiply:
![fraction numerator x plus 3 over denominator 4 end fraction equals fraction numerator x plus 2 over denominator 2 end fraction](data:image/png;base64,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)
(x + 3) 2 = (x + 2) 4
2x + 6 = 4x + 8
○ Step 2:
Group like terms:
2x - 4x = 8 - 6
- 2x = 2
x = ![fraction numerator 2 over denominator negative 2 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAjCAYAAABsFtHvAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAJJJREFUeNpjYCAdWAPxGiD+BMS/gPgCEEcz0AkcBOJIIOaB8rWA+ChUbECAPBBfYhhA8GOgLLaEBj3dAQcQn4QmRLoCQSDeAMRu9LZYCWqxCr0t1gDi2UDMRW+LxYF4FRCzDEQC2wL1+YCA/3jwKBgFQwP8pyMeBaNgaIPRJvVok3roNqkpKaNHm9SjTerB16QGAPnZT2OaPnD5AAAAeXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtZnJhYz48bW4+MjwvbW4+PG1yb3c+PG1vPi08L21vPjxtbj4yPC9tbj48L21yb3c+PC9tZnJhYz48L21hdGg+z7m2PwAAAABJRU5ErkJggg==)
x = -1
- Final Answer:
x = -1
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