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Solve 11x + 3 = 91

The solution of 11x + 3 = 91 is x = 8.

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The lines y = 11x + 3 and y = 91 meet at x = 8246810121420406080100120140160x = 8y = 11x + 3y = 91
The lines y = 11x + 3 and y = 91 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+3=9111x + 3 = 91
  2. 2

    Subtract 3 from both sides:

    11x+3−3=91−3 ⇒ 11x=8811x + 3 - 3 = 91 - 3 \ \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+3=88+3=91✓11\cdot8 + 3 = 88 + 3 = 91 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 3 = 91\ \Rightarrow\ x = 8 \]
\[ 11x + 3 = 91 \]
\[ 11x + 3 - 3 = 91 - 3 \ \Rightarrow\ 11x = 88 \]
\[ \frac{11x}{11} = \frac{88}{11} \ \Rightarrow\ x = 8 \]
\[ 11\cdot8 + 3 = 88 + 3 = 91 \checkmark \]

Trying values of x in 11x + 3 = 91

x11x + 3Equals 91?
669no
780no
891yes
9102no
10113no

Questions

What is x in 11x + 3 = 91?

The solution of 11x + 3 = 91 is x = 8.

How do you solve 11x + 3 = 91?

Subtract 3 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) + 3 = 91, which is 91.

Similar equations

    Solve 11x + 3 = 91: x = 8 (steps and check) | WordGPT