WordGPT

Solve 4x + 11 = 71

The solution of 4x + 11 = 71 is x = 15.

Explain it step by step in chatMake a short video of it
The lines y = 4x + 11 and y = 71 meet at x = 151012141618205060708090100x = 15y = 4x + 11y = 71
The lines y = 4x + 11 and y = 71 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+11=714x + 11 = 71
  2. 2

    Subtract 11 from both sides:

    4x+11−11=71−11 ⇒ 4x=604x + 11 - 11 = 71 - 11 \ \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+11=60+11=71✓4\cdot15 + 11 = 60 + 11 = 71 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 11 = 71\ \Rightarrow\ x = 15 \]
\[ 4x + 11 = 71 \]
\[ 4x + 11 - 11 = 71 - 11 \ \Rightarrow\ 4x = 60 \]
\[ \frac{4x}{4} = \frac{60}{4} \ \Rightarrow\ x = 15 \]
\[ 4\cdot15 + 11 = 60 + 11 = 71 \checkmark \]

Trying values of x in 4x + 11 = 71

x4x + 11Equals 71?
1363no
1467no
1571yes
1675no
1779no

Questions

What is x in 4x + 11 = 71?

The solution of 4x + 11 = 71 is x = 15.

How do you solve 4x + 11 = 71?

Subtract 11 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) + 11 = 71, which is 71.

Similar equations

    Solve 4x + 11 = 71: x = 15 (steps and check) | WordGPT