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Solve the equation: $$\frac{2x + 3}{5} = 7$$ - Junior Cycle Mathematics - Question 5 - 2019

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Solve-the-equation:--$$\frac{2x-+-3}{5}-=-7$$-Junior Cycle Mathematics-Question 5-2019.png

Solve the equation: $$\frac{2x + 3}{5} = 7$$

Worked Solution & Example Answer:Solve the equation: $$\frac{2x + 3}{5} = 7$$ - Junior Cycle Mathematics - Question 5 - 2019

Step 1

Step 1: Multiply both sides by 5

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Answer

To eliminate the fraction, we multiply both sides of the equation by 5:

2x+3=7imes52x + 3 = 7 imes 5

This simplifies to:

2x+3=352x + 3 = 35

Step 2

Step 2: Subtract 3 from both sides

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Answer

Next, we subtract 3 from both sides to isolate the term with xx:

2x=35−32x = 35 - 3

This gives us:

2x=322x = 32

Step 3

Step 3: Divide by 2

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Answer

Finally, we divide both sides by 2 to solve for xx:

x=322x = \frac{32}{2}

This simplifies to:

x=16x = 16

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