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Challenge Solve the equation2x+3=11using mental math. Explain the reasoning you used to find the solution.

Short Answer

Expert verified

The solution of the equation is x = 4

Step by step solution

01

Apply the concept of equation: 

An equation is a mathematical statement that two expressions are equal. The solution of an equation is the value that when substituted for the variable makes the equation a true statement.

Example: 3x + 5 = 14 is an equation, in which 3x+5 and 14 are two expressions separated by an ‘’equal’’ sign.

02

What are the steps to solve an equation? 

Step 1: Simplify each side of the equation by removing parenthesis and combining the like terms.

Step 2: Use addition or subtraction to isolate the variable term on one side (preferably in the left side).

Step 3: Use Multiplication or Division to solve for the variable.

03

Solve the equation using mental math

2x+3=11.

Now solving the equation2x+3=11with proper steps

2x+3=112x+3−3=11−3 â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰[ â¶Ä‰S³Ü²ú³Ù°ù²¹³¦³Ù â¶Ä‰3 â¶Ä‰f°ù´Ç³¾â€‰â¶Ä‰b´Ç³Ù³ó â¶Ä‰s¾±»å±ð²õ â¶Ä‰]2x â¶Ä‰= â¶Ä‰8 â¶Ä‰2x2 â¶Ä‰= â¶Ä‰82 â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â€‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â€‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â€‰[ â¶Ä‰Divide â¶Ä‰oth â¶Ä‰sides â¶Ä‰by â¶Ä‰2 â¶Ä‰]x â¶Ä‰= â¶Ä‰4 â¶Ä‰

The solution of the equation isx â¶Ä‰= â¶Ä‰4 â¶Ä‰

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