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Solve 7x + 9 = 100

The solution of 7x + 9 = 100 is x = 13.

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The lines y = 7x + 9 and y = 100 meet at x = 13810121416186080100120140x = 13y = 7x + 9y = 100
The lines y = 7x + 9 and y = 100 meet at x = 13. 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+9=1007x + 9 = 100
  2. 2

    Subtract 9 from both sides:

    7x+9−9=100−9 ⇒ 7x=917x + 9 - 9 = 100 - 9 \ \Rightarrow\ 7x = 91
  3. 3

    Divide both sides by 7:

    7x7=917 ⇒ x=13\frac{7x}{7} = \frac{91}{7} \ \Rightarrow\ x = 13
  4. 4

    Check: put x = 13 back into the equation.

    7⋅13+9=91+9=100✓7\cdot13 + 9 = 91 + 9 = 100 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 9 = 100\ \Rightarrow\ x = 13 \]
\[ 7x + 9 = 100 \]
\[ 7x + 9 - 9 = 100 - 9 \ \Rightarrow\ 7x = 91 \]
\[ \frac{7x}{7} = \frac{91}{7} \ \Rightarrow\ x = 13 \]
\[ 7\cdot13 + 9 = 91 + 9 = 100 \checkmark \]

Trying values of x in 7x + 9 = 100

x7x + 9Equals 100?
1186no
1293no
13100yes
14107no
15114no

Questions

What is x in 7x + 9 = 100?

The solution of 7x + 9 = 100 is x = 13.

How do you solve 7x + 9 = 100?

Subtract 9 from both sides to get 7x = 91, then divide both sides by 7 to get x = 13.

How do I check the answer?

Replace x by 13: 7(13) + 9 = 100, which is 100.

Similar equations

    Solve 7x + 9 = 100: x = 13 (steps and check) | WordGPT