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Solve 4x + 1 = 49

The solution of 4x + 1 = 49 is x = 12.

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The lines y = 4x + 1 and y = 49 meet at x = 126810121416183040506070x = 12y = 4x + 1y = 49
The lines y = 4x + 1 and y = 49 meet at x = 12. 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=494x + 1 = 49
  2. 2

    Subtract 1 from both sides:

    4x+1−1=49−1 ⇒ 4x=484x + 1 - 1 = 49 - 1 \ \Rightarrow\ 4x = 48
  3. 3

    Divide both sides by 4:

    4x4=484 ⇒ x=12\frac{4x}{4} = \frac{48}{4} \ \Rightarrow\ x = 12
  4. 4

    Check: put x = 12 back into the equation.

    4⋅12+1=48+1=49✓4\cdot12 + 1 = 48 + 1 = 49 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 1 = 49\ \Rightarrow\ x = 12 \]
\[ 4x + 1 = 49 \]
\[ 4x + 1 - 1 = 49 - 1 \ \Rightarrow\ 4x = 48 \]
\[ \frac{4x}{4} = \frac{48}{4} \ \Rightarrow\ x = 12 \]
\[ 4\cdot12 + 1 = 48 + 1 = 49 \checkmark \]

Trying values of x in 4x + 1 = 49

x4x + 1Equals 49?
1041no
1145no
1249yes
1353no
1457no

Questions

What is x in 4x + 1 = 49?

The solution of 4x + 1 = 49 is x = 12.

How do you solve 4x + 1 = 49?

Subtract 1 from both sides to get 4x = 48, then divide both sides by 4 to get x = 12.

How do I check the answer?

Replace x by 12: 4(12) + 1 = 49, which is 49.

Similar equations

    Solve 4x + 1 = 49: x = 12 (steps and check) | WordGPT