Question

Solve and check the linear e 2x+9=17

Answer 1

The solution to the linear equation 2x + 9 = 17 is 'x = 4'. This is verified by substituting 'x' back into the original equation and confirming the results are equal on both sides.

Step-by-step explanation:

To solve the linear equation 2x + 9 = 17, you need to find the value of 'x' that makes the equation true. Follow these steps:

1. Subtract 9 from both sides of the equation to get 2x = 17 - 9.
2. After subtracting 9 from 17, you get 2x = 8.
3. Divide both sides of the equation by 2 to isolate 'x', resulting in x = 8 / 2.
4. Simplify the right side to find that x = 4.

To check the solution, substitute 'x' back into the original equation:

• 2(4) + 9 = 8 + 9
• 8 + 9 = 17
• The left side equals the right side, which confirms that 'x = 4' is the correct solution.