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Solve 7x + 1 = 99

The solution of 7x + 1 = 99 is x = 14.

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The lines y = 7x + 1 and y = 99 meet at x = 1481012141618206080100120140x = 14y = 7x + 1y = 99
The lines y = 7x + 1 and y = 99 meet at x = 14. 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.

    7x+1=997x + 1 = 99
  2. 2

    Subtract 1 from both sides:

    7x+1−1=99−1 ⇒ 7x=987x + 1 - 1 = 99 - 1 \ \Rightarrow\ 7x = 98
  3. 3

    Divide both sides by 7:

    7x7=987 ⇒ x=14\frac{7x}{7} = \frac{98}{7} \ \Rightarrow\ x = 14
  4. 4

    Check: put x = 14 back into the equation.

    7⋅14+1=98+1=99✓7\cdot14 + 1 = 98 + 1 = 99 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 1 = 99\ \Rightarrow\ x = 14 \]
\[ 7x + 1 = 99 \]
\[ 7x + 1 - 1 = 99 - 1 \ \Rightarrow\ 7x = 98 \]
\[ \frac{7x}{7} = \frac{98}{7} \ \Rightarrow\ x = 14 \]
\[ 7\cdot14 + 1 = 98 + 1 = 99 \checkmark \]

Trying values of x in 7x + 1 = 99

x7x + 1Equals 99?
1285no
1392no
1499yes
15106no
16113no

Questions

What is x in 7x + 1 = 99?

The solution of 7x + 1 = 99 is x = 14.

How do you solve 7x + 1 = 99?

Subtract 1 from both sides to get 7x = 98, then divide both sides by 7 to get x = 14.

How do I check the answer?

Replace x by 14: 7(14) + 1 = 99, which is 99.

Similar equations

    Solve 7x + 1 = 99: x = 14 (steps and check) | WordGPT