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Solve 11x + 12 = 100

The solution of 11x + 12 = 100 is x = 8.

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The lines y = 11x + 12 and y = 100 meet at x = 82468101214406080100120140160x = 8y = 11x + 12y = 100
The lines y = 11x + 12 and y = 100 meet at x = 8. 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.

    11x+12=10011x + 12 = 100
  2. 2

    Subtract 12 from both sides:

    11x+12−12=100−12 ⇒ 11x=8811x + 12 - 12 = 100 - 12 \ \Rightarrow\ 11x = 88
  3. 3

    Divide both sides by 11:

    11x11=8811 ⇒ x=8\frac{11x}{11} = \frac{88}{11} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    11⋅8+12=88+12=100✓11\cdot8 + 12 = 88 + 12 = 100 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 12 = 100\ \Rightarrow\ x = 8 \]
\[ 11x + 12 = 100 \]
\[ 11x + 12 - 12 = 100 - 12 \ \Rightarrow\ 11x = 88 \]
\[ \frac{11x}{11} = \frac{88}{11} \ \Rightarrow\ x = 8 \]
\[ 11\cdot8 + 12 = 88 + 12 = 100 \checkmark \]

Trying values of x in 11x + 12 = 100

x11x + 12Equals 100?
678no
789no
8100yes
9111no
10122no

Questions

What is x in 11x + 12 = 100?

The solution of 11x + 12 = 100 is x = 8.

How do you solve 11x + 12 = 100?

Subtract 12 from both sides to get 11x = 88, then divide both sides by 11 to get x = 8.

How do I check the answer?

Replace x by 8: 11(8) + 12 = 100, which is 100.

Similar equations

    Solve 11x + 12 = 100: x = 8 (steps and check) | WordGPT