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Solve 4x + 1 = 61

The solution of 4x + 1 = 61 is x = 15.

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The lines y = 4x + 1 and y = 61 meet at x = 15101214161820405060708090x = 15y = 4x + 1y = 61
The lines y = 4x + 1 and y = 61 meet at x = 15. 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+1=614x + 1 = 61
  2. 2

    Subtract 1 from both sides:

    4x+1−1=61−1 ⇒ 4x=604x + 1 - 1 = 61 - 1 \ \Rightarrow\ 4x = 60
  3. 3

    Divide both sides by 4:

    4x4=604 ⇒ x=15\frac{4x}{4} = \frac{60}{4} \ \Rightarrow\ x = 15
  4. 4

    Check: put x = 15 back into the equation.

    4⋅15+1=60+1=61✓4\cdot15 + 1 = 60 + 1 = 61 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 1 = 61\ \Rightarrow\ x = 15 \]
\[ 4x + 1 = 61 \]
\[ 4x + 1 - 1 = 61 - 1 \ \Rightarrow\ 4x = 60 \]
\[ \frac{4x}{4} = \frac{60}{4} \ \Rightarrow\ x = 15 \]
\[ 4\cdot15 + 1 = 60 + 1 = 61 \checkmark \]

Trying values of x in 4x + 1 = 61

x4x + 1Equals 61?
1353no
1457no
1561yes
1665no
1769no

Questions

What is x in 4x + 1 = 61?

The solution of 4x + 1 = 61 is x = 15.

How do you solve 4x + 1 = 61?

Subtract 1 from both sides to get 4x = 60, then divide both sides by 4 to get x = 15.

How do I check the answer?

Replace x by 15: 4(15) + 1 = 61, which is 61.

Similar equations

    Solve 4x + 1 = 61: x = 15 (steps and check) | WordGPT