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Solve 4x + 9 = 61

The solution of 4x + 9 = 61 is x = 13.

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The lines y = 4x + 9 and y = 61 meet at x = 1381012141618405060708090x = 13y = 4x + 9y = 61
The lines y = 4x + 9 and y = 61 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.

    4x+9=614x + 9 = 61
  2. 2

    Subtract 9 from both sides:

    4x+9−9=61−9 ⇒ 4x=524x + 9 - 9 = 61 - 9 \ \Rightarrow\ 4x = 52
  3. 3

    Divide both sides by 4:

    4x4=524 ⇒ x=13\frac{4x}{4} = \frac{52}{4} \ \Rightarrow\ x = 13
  4. 4

    Check: put x = 13 back into the equation.

    4⋅13+9=52+9=61✓4\cdot13 + 9 = 52 + 9 = 61 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 9 = 61\ \Rightarrow\ x = 13 \]
\[ 4x + 9 = 61 \]
\[ 4x + 9 - 9 = 61 - 9 \ \Rightarrow\ 4x = 52 \]
\[ \frac{4x}{4} = \frac{52}{4} \ \Rightarrow\ x = 13 \]
\[ 4\cdot13 + 9 = 52 + 9 = 61 \checkmark \]

Trying values of x in 4x + 9 = 61

x4x + 9Equals 61?
1153no
1257no
1361yes
1465no
1569no

Questions

What is x in 4x + 9 = 61?

The solution of 4x + 9 = 61 is x = 13.

How do you solve 4x + 9 = 61?

Subtract 9 from both sides to get 4x = 52, then divide both sides by 4 to get x = 13.

How do I check the answer?

Replace x by 13: 4(13) + 9 = 61, which is 61.

Similar equations

    Solve 4x + 9 = 61: x = 13 (steps and check) | WordGPT