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If 5x + 3 = 18, then x is equal to ____________.
2
3
4
5
3
Use the 'inverse operation' mental check: subtract the constant (18 - 3 = 15) and divide by the coefficient (15 / 5 = 3).
A linear equation 5x + 3 = 18 is given.
ax+b=cтЯ╣x=acтИТbтАЛ
Use the 'inverse operation' mental check: subtract the constant (18 - 3 = 15) and divide by the coefficient (15 / 5 = 3).
Students often add the constant 3 to the RHS instead of subtracting it, or they perform 18 / 5 first while ignoring the constant.
Isolate the variable term
Subtract 3 from both sides of the equation to isolate the term containing x.
5x=18тИТ3
Simplify the constant side
Perform the subtraction on the right-hand side.
5x=15
Solve for x
Divide both sides by 5 to find the value of x.
x=515тАЛ=3
B is correct because solving the equation 5x + 3 = 18 leads to 5x = 15, which results in x = 3.
This fundamental technique of 'balancing the equation' is the foundation for solving complex systems of linear equations in competitive exams like JEE or CAT.
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