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Solve 10x + 1 = 51

The solution of 10x + 1 = 51 is x = 5.

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The lines y = 10x + 1 and y = 51 meet at x = 5246810-2020406080100120x = 5y = 10x + 1y = 51
The lines y = 10x + 1 and y = 51 meet at x = 5. 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.

    10x+1=5110x + 1 = 51
  2. 2

    Subtract 1 from both sides:

    10x+1−1=51−1 ⇒ 10x=5010x + 1 - 1 = 51 - 1 \ \Rightarrow\ 10x = 50
  3. 3

    Divide both sides by 10:

    10x10=5010 ⇒ x=5\frac{10x}{10} = \frac{50}{10} \ \Rightarrow\ x = 5
  4. 4

    Check: put x = 5 back into the equation.

    10⋅5+1=50+1=51✓10\cdot5 + 1 = 50 + 1 = 51 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 1 = 51\ \Rightarrow\ x = 5 \]
\[ 10x + 1 = 51 \]
\[ 10x + 1 - 1 = 51 - 1 \ \Rightarrow\ 10x = 50 \]
\[ \frac{10x}{10} = \frac{50}{10} \ \Rightarrow\ x = 5 \]
\[ 10\cdot5 + 1 = 50 + 1 = 51 \checkmark \]

Trying values of x in 10x + 1 = 51

x10x + 1Equals 51?
331no
441no
551yes
661no
771no

Questions

What is x in 10x + 1 = 51?

The solution of 10x + 1 = 51 is x = 5.

How do you solve 10x + 1 = 51?

Subtract 1 from both sides to get 10x = 50, then divide both sides by 10 to get x = 5.

How do I check the answer?

Replace x by 5: 10(5) + 1 = 51, which is 51.

Similar equations

    Solve 10x + 1 = 51: x = 5 (steps and check) | WordGPT