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Solve 6x + 11 = 101

The solution of 6x + 11 = 101 is x = 15.

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The lines y = 6x + 11 and y = 101 meet at x = 1510121416182060708090100110120130140x = 15y = 6x + 11y = 101
The lines y = 6x + 11 and y = 101 meet at x = 15. 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.

    6x+11=1016x + 11 = 101
  2. 2

    Subtract 11 from both sides:

    6x+11−11=101−11 ⇒ 6x=906x + 11 - 11 = 101 - 11 \ \Rightarrow\ 6x = 90
  3. 3

    Divide both sides by 6:

    6x6=906 ⇒ x=15\frac{6x}{6} = \frac{90}{6} \ \Rightarrow\ x = 15
  4. 4

    Check: put x = 15 back into the equation.

    6⋅15+11=90+11=101✓6\cdot15 + 11 = 90 + 11 = 101 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 11 = 101\ \Rightarrow\ x = 15 \]
\[ 6x + 11 = 101 \]
\[ 6x + 11 - 11 = 101 - 11 \ \Rightarrow\ 6x = 90 \]
\[ \frac{6x}{6} = \frac{90}{6} \ \Rightarrow\ x = 15 \]
\[ 6\cdot15 + 11 = 90 + 11 = 101 \checkmark \]

Trying values of x in 6x + 11 = 101

x6x + 11Equals 101?
1389no
1495no
15101yes
16107no
17113no

Questions

What is x in 6x + 11 = 101?

The solution of 6x + 11 = 101 is x = 15.

How do you solve 6x + 11 = 101?

Subtract 11 from both sides to get 6x = 90, then divide both sides by 6 to get x = 15.

How do I check the answer?

Replace x by 15: 6(15) + 11 = 101, which is 101.

Similar equations

    Solve 6x + 11 = 101: x = 15 (steps and check) | WordGPT