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Solve 4x + 13 = 49

The solution of 4x + 13 = 49 is x = 9.

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The lines y = 4x + 13 and y = 49 meet at x = 94681012143040506070x = 9y = 4x + 13y = 49
The lines y = 4x + 13 and y = 49 meet at x = 9. 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+13=494x + 13 = 49
  2. 2

    Subtract 13 from both sides:

    4x+13−13=49−13 ⇒ 4x=364x + 13 - 13 = 49 - 13 \ \Rightarrow\ 4x = 36
  3. 3

    Divide both sides by 4:

    4x4=364 ⇒ x=9\frac{4x}{4} = \frac{36}{4} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    4⋅9+13=36+13=49✓4\cdot9 + 13 = 36 + 13 = 49 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 13 = 49\ \Rightarrow\ x = 9 \]
\[ 4x + 13 = 49 \]
\[ 4x + 13 - 13 = 49 - 13 \ \Rightarrow\ 4x = 36 \]
\[ \frac{4x}{4} = \frac{36}{4} \ \Rightarrow\ x = 9 \]
\[ 4\cdot9 + 13 = 36 + 13 = 49 \checkmark \]

Trying values of x in 4x + 13 = 49

x4x + 13Equals 49?
741no
845no
949yes
1053no
1157no

Questions

What is x in 4x + 13 = 49?

The solution of 4x + 13 = 49 is x = 9.

How do you solve 4x + 13 = 49?

Subtract 13 from both sides to get 4x = 36, then divide both sides by 4 to get x = 9.

How do I check the answer?

Replace x by 9: 4(9) + 13 = 49, which is 49.

Similar equations

    Solve 4x + 13 = 49: x = 9 (steps and check) | WordGPT