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Find the value of x if 3x + 7 = 22.
5
6
4
7
5
Subtract 7 from 22 directly to get 15, then divide by 3 to find x=5 in under 10 seconds.
Linear equation 3x+7=22
3x+7=22
Subtract 7 from 22 directly to get 15, then divide by 3 to find x=5 in under 10 seconds.
Forgetting to change the sign of the constant term when shifting it from left to right, or incorrectly performing addition instead of subtraction.
Write the given equation
Start with the given linear equation in one variable: 3x+7=22
3x+7=22
Isolate the variable term
Subtract 7 from both sides of the equation to isolate the term containing x.
3x=22тИТ7
Simplify the expression
Subtract the numbers on the right-hand side: 22тИТ7=15.
3x=15
Solve for x
Divide both sides by the coefficient of x, which is 3, to find the final value.
x=315тАЛ=5
A is correct because solving the linear equation 3x+7=22 yields x=5.
Mastering linear equations is essential for tackling simultaneous equations and ratio-proportion problems in competitive exams.
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