WordGPT

Solve 3x + 1 = 49

The solution of 3x + 1 = 49 is x = 16.

Explain it step by step in chatMake a short video of it
The lines y = 3x + 1 and y = 49 meet at x = 1610121416182022303540455055606570x = 16y = 3x + 1y = 49
The lines y = 3x + 1 and y = 49 meet at x = 16. 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.

    3x+1=493x + 1 = 49
  2. 2

    Subtract 1 from both sides:

    3x+1−1=49−1 ⇒ 3x=483x + 1 - 1 = 49 - 1 \ \Rightarrow\ 3x = 48
  3. 3

    Divide both sides by 3:

    3x3=483 ⇒ x=16\frac{3x}{3} = \frac{48}{3} \ \Rightarrow\ x = 16
  4. 4

    Check: put x = 16 back into the equation.

    3⋅16+1=48+1=49✓3\cdot16 + 1 = 48 + 1 = 49 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 1 = 49\ \Rightarrow\ x = 16 \]
\[ 3x + 1 = 49 \]
\[ 3x + 1 - 1 = 49 - 1 \ \Rightarrow\ 3x = 48 \]
\[ \frac{3x}{3} = \frac{48}{3} \ \Rightarrow\ x = 16 \]
\[ 3\cdot16 + 1 = 48 + 1 = 49 \checkmark \]

Trying values of x in 3x + 1 = 49

x3x + 1Equals 49?
1443no
1546no
1649yes
1752no
1855no

Questions

What is x in 3x + 1 = 49?

The solution of 3x + 1 = 49 is x = 16.

How do you solve 3x + 1 = 49?

Subtract 1 from both sides to get 3x = 48, then divide both sides by 3 to get x = 16.

How do I check the answer?

Replace x by 16: 3(16) + 1 = 49, which is 49.

Similar equations

    Solve 3x + 1 = 49: x = 16 (steps and check) | WordGPT