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Solve 9x + 7 = 61

The solution of 9x + 7 = 61 is x = 6.

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The lines y = 9x + 7 and y = 61 meet at x = 62468101220406080100120x = 6y = 9x + 7y = 61
The lines y = 9x + 7 and y = 61 meet at x = 6. 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.

    9x+7=619x + 7 = 61
  2. 2

    Subtract 7 from both sides:

    9x+7−7=61−7 ⇒ 9x=549x + 7 - 7 = 61 - 7 \ \Rightarrow\ 9x = 54
  3. 3

    Divide both sides by 9:

    9x9=549 ⇒ x=6\frac{9x}{9} = \frac{54}{9} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    9⋅6+7=54+7=61✓9\cdot6 + 7 = 54 + 7 = 61 \checkmark
LaTeX source of the formulas on this page
\[ 9x + 7 = 61\ \Rightarrow\ x = 6 \]
\[ 9x + 7 = 61 \]
\[ 9x + 7 - 7 = 61 - 7 \ \Rightarrow\ 9x = 54 \]
\[ \frac{9x}{9} = \frac{54}{9} \ \Rightarrow\ x = 6 \]
\[ 9\cdot6 + 7 = 54 + 7 = 61 \checkmark \]

Trying values of x in 9x + 7 = 61

x9x + 7Equals 61?
443no
552no
661yes
770no
879no

Questions

What is x in 9x + 7 = 61?

The solution of 9x + 7 = 61 is x = 6.

How do you solve 9x + 7 = 61?

Subtract 7 from both sides to get 9x = 54, then divide both sides by 9 to get x = 6.

How do I check the answer?

Replace x by 6: 9(6) + 7 = 61, which is 61.

Similar equations

    Solve 9x + 7 = 61: x = 6 (steps and check) | WordGPT