WordGPT

Solve 6x + 7 = 1

The solution of 6x + 7 = 1 is x = -1.

Explain it step by step in chatMake a short video of it
The lines y = 6x + 7 and y = 1 meet at x = -1-6-4-224-40-30-20-1010203040x = -1y = 6x + 7y = 1
The lines y = 6x + 7 and y = 1 meet at x = -1. 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.

    6x+7=16x + 7 = 1
  2. 2

    Subtract 7 from both sides:

    6x+7−7=1−7 ⇒ 6x=−66x + 7 - 7 = 1 - 7 \ \Rightarrow\ 6x = -6
  3. 3

    Divide both sides by 6:

    6x6=−66 ⇒ x=−1\frac{6x}{6} = \frac{-6}{6} \ \Rightarrow\ x = -1
  4. 4

    Check: put x = -1 back into the equation.

    6⋅(−1)+7=−6+7=1✓6\cdot(-1) + 7 = -6 + 7 = 1 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 7 = 1\ \Rightarrow\ x = -1 \]
\[ 6x + 7 = 1 \]
\[ 6x + 7 - 7 = 1 - 7 \ \Rightarrow\ 6x = -6 \]
\[ \frac{6x}{6} = \frac{-6}{6} \ \Rightarrow\ x = -1 \]
\[ 6\cdot(-1) + 7 = -6 + 7 = 1 \checkmark \]

Trying values of x in 6x + 7 = 1

x6x + 7Equals 1?
-3-11no
-2-5no
-11yes
07no
113no

Questions

What is x in 6x + 7 = 1?

The solution of 6x + 7 = 1 is x = -1.

How do you solve 6x + 7 = 1?

Subtract 7 from both sides to get 6x = -6, then divide both sides by 6 to get x = -1.

How do I check the answer?

Replace x by -1: 6(-1) + 7 = 1, which is 1.

Similar equations

    Solve 6x + 7 = 1: x = -1 (steps and check) | WordGPT