WordGPT

Solve 7x + 9 = 86

The solution of 7x + 9 = 86 is x = 11.

The lines y = 7x + 9 and y = 86 meet at x = 116810121416406080100120x = 11y = 7x + 9y = 86
The lines y = 7x + 9 and y = 86 meet at x = 11. 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=867x + 9 = 86
  2. 2

    Subtract 9 from both sides:

    7x+9−9=86−9 ⇒ 7x=777x + 9 - 9 = 86 - 9 \ \Rightarrow\ 7x = 77
  3. 3

    Divide both sides by 7:

    7x7=777 ⇒ x=11\frac{7x}{7} = \frac{77}{7} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    7⋅11+9=77+9=86✓7\cdot11 + 9 = 77 + 9 = 86 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 9 = 86\ \Rightarrow\ x = 11 \]
\[ 7x + 9 = 86 \]
\[ 7x + 9 - 9 = 86 - 9 \ \Rightarrow\ 7x = 77 \]
\[ \frac{7x}{7} = \frac{77}{7} \ \Rightarrow\ x = 11 \]
\[ 7\cdot11 + 9 = 77 + 9 = 86 \checkmark \]

Trying values of x in 7x + 9 = 86

x7x + 9Equals 86?
972no
1079no
1186yes
1293no
13100no

Questions

What is x in 7x + 9 = 86?

The solution of 7x + 9 = 86 is x = 11.

How do you solve 7x + 9 = 86?

Subtract 9 from both sides to get 7x = 77, then divide both sides by 7 to get x = 11.

How do I check the answer?

Replace x by 11: 7(11) + 9 = 86, which is 86.

Similar equations

    Solve 7x + 9 = 86: x = 11 (steps and check) | WordGPT