WordGPT

Solve 3x + 10 = 61

The solution of 3x + 10 = 61 is x = 17.

Explain it step by step in chatMake a short video of it
The lines y = 3x + 10 and y = 61 meet at x = 17121416182022404550556065707580x = 17y = 3x + 10y = 61
The lines y = 3x + 10 and y = 61 meet at x = 17. 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+10=613x + 10 = 61
  2. 2

    Subtract 10 from both sides:

    3x+10−10=61−10 ⇒ 3x=513x + 10 - 10 = 61 - 10 \ \Rightarrow\ 3x = 51
  3. 3

    Divide both sides by 3:

    3x3=513 ⇒ x=17\frac{3x}{3} = \frac{51}{3} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    3⋅17+10=51+10=61✓3\cdot17 + 10 = 51 + 10 = 61 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 10 = 61\ \Rightarrow\ x = 17 \]
\[ 3x + 10 = 61 \]
\[ 3x + 10 - 10 = 61 - 10 \ \Rightarrow\ 3x = 51 \]
\[ \frac{3x}{3} = \frac{51}{3} \ \Rightarrow\ x = 17 \]
\[ 3\cdot17 + 10 = 51 + 10 = 61 \checkmark \]

Trying values of x in 3x + 10 = 61

x3x + 10Equals 61?
1555no
1658no
1761yes
1864no
1967no

Questions

What is x in 3x + 10 = 61?

The solution of 3x + 10 = 61 is x = 17.

How do you solve 3x + 10 = 61?

Subtract 10 from both sides to get 3x = 51, then divide both sides by 3 to get x = 17.

How do I check the answer?

Replace x by 17: 3(17) + 10 = 61, which is 61.

Similar equations

    Solve 3x + 10 = 61: x = 17 (steps and check) | WordGPT