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Solve 5x + 1 = 101

The solution of 5x + 1 = 101 is x = 20.

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The lines y = 5x + 1 and y = 101 meet at x = 2014161820222426708090100110120130x = 20y = 5x + 1y = 101
The lines y = 5x + 1 and y = 101 meet at x = 20. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

  1. 1

    The goal is to get x alone. Undo the operations in the opposite order: first the addition, then the multiplication.

    5x+1=1015x + 1 = 101
  2. 2

    Subtract 1 from both sides:

    5x+1−1=101−1 ⇒ 5x=1005x + 1 - 1 = 101 - 1 \ \Rightarrow\ 5x = 100
  3. 3

    Divide both sides by 5:

    5x5=1005 ⇒ x=20\frac{5x}{5} = \frac{100}{5} \ \Rightarrow\ x = 20
  4. 4

    Check: put x = 20 back into the equation.

    5⋅20+1=100+1=101✓5\cdot20 + 1 = 100 + 1 = 101 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 1 = 101\ \Rightarrow\ x = 20 \]
\[ 5x + 1 = 101 \]
\[ 5x + 1 - 1 = 101 - 1 \ \Rightarrow\ 5x = 100 \]
\[ \frac{5x}{5} = \frac{100}{5} \ \Rightarrow\ x = 20 \]
\[ 5\cdot20 + 1 = 100 + 1 = 101 \checkmark \]

Trying values of x in 5x + 1 = 101

x5x + 1Equals 101?
1891no
1996no
20101yes
21106no
22111no

Questions

What is x in 5x + 1 = 101?

The solution of 5x + 1 = 101 is x = 20.

How do you solve 5x + 1 = 101?

Subtract 1 from both sides to get 5x = 100, then divide both sides by 5 to get x = 20.

How do I check the answer?

Replace x by 20: 5(20) + 1 = 101, which is 101.

Similar equations

    Solve 5x + 1 = 101: x = 20 (steps and check) | WordGPT