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Solve 7x + 10 = 101

The solution of 7x + 10 = 101 is x = 13.

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The lines y = 7x + 10 and y = 101 meet at x = 13810121416186080100120140x = 13y = 7x + 10y = 101
The lines y = 7x + 10 and y = 101 meet at x = 13. 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.

    7x+10=1017x + 10 = 101
  2. 2

    Subtract 10 from both sides:

    7x+10−10=101−10 ⇒ 7x=917x + 10 - 10 = 101 - 10 \ \Rightarrow\ 7x = 91
  3. 3

    Divide both sides by 7:

    7x7=917 ⇒ x=13\frac{7x}{7} = \frac{91}{7} \ \Rightarrow\ x = 13
  4. 4

    Check: put x = 13 back into the equation.

    7⋅13+10=91+10=101✓7\cdot13 + 10 = 91 + 10 = 101 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 10 = 101\ \Rightarrow\ x = 13 \]
\[ 7x + 10 = 101 \]
\[ 7x + 10 - 10 = 101 - 10 \ \Rightarrow\ 7x = 91 \]
\[ \frac{7x}{7} = \frac{91}{7} \ \Rightarrow\ x = 13 \]
\[ 7\cdot13 + 10 = 91 + 10 = 101 \checkmark \]

Trying values of x in 7x + 10 = 101

x7x + 10Equals 101?
1187no
1294no
13101yes
14108no
15115no

Questions

What is x in 7x + 10 = 101?

The solution of 7x + 10 = 101 is x = 13.

How do you solve 7x + 10 = 101?

Subtract 10 from both sides to get 7x = 91, then divide both sides by 7 to get x = 13.

How do I check the answer?

Replace x by 13: 7(13) + 10 = 101, which is 101.

Similar equations

    Solve 7x + 10 = 101: x = 13 (steps and check) | WordGPT