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Solve 10x + 9 = 49

The solution of 10x + 9 = 49 is x = 4.

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The lines y = 10x + 9 and y = 49 meet at x = 4-2246810-2020406080100120x = 4y = 10x + 9y = 49
The lines y = 10x + 9 and y = 49 meet at x = 4. 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.

    10x+9=4910x + 9 = 49
  2. 2

    Subtract 9 from both sides:

    10x+9−9=49−9 ⇒ 10x=4010x + 9 - 9 = 49 - 9 \ \Rightarrow\ 10x = 40
  3. 3

    Divide both sides by 10:

    10x10=4010 ⇒ x=4\frac{10x}{10} = \frac{40}{10} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    10⋅4+9=40+9=49✓10\cdot4 + 9 = 40 + 9 = 49 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 9 = 49\ \Rightarrow\ x = 4 \]
\[ 10x + 9 = 49 \]
\[ 10x + 9 - 9 = 49 - 9 \ \Rightarrow\ 10x = 40 \]
\[ \frac{10x}{10} = \frac{40}{10} \ \Rightarrow\ x = 4 \]
\[ 10\cdot4 + 9 = 40 + 9 = 49 \checkmark \]

Trying values of x in 10x + 9 = 49

x10x + 9Equals 49?
229no
339no
449yes
559no
669no

Questions

What is x in 10x + 9 = 49?

The solution of 10x + 9 = 49 is x = 4.

How do you solve 10x + 9 = 49?

Subtract 9 from both sides to get 10x = 40, then divide both sides by 10 to get x = 4.

How do I check the answer?

Replace x by 4: 10(4) + 9 = 49, which is 49.

Similar equations

    Solve 10x + 9 = 49: x = 4 (steps and check) | WordGPT