Question

math challenge!!!
analyze and solve. show your solution.

1. if (9x - 4x = 15), find the value of (7x + 3x).
2. if (\frac{(11-x)}{4} = 2), find the value of (4(11-x)).
3. if (7(x+1) - 4(x+1) = -2), find the value of (12(x+1)).

Explanation:

⚡ Using what you learned: understanding linear equations

Step 1: Solve Problem 1

Given:

$$ 9x - 4x = 15 $$

Simplify the left side:

$$ 5x = 15 $$

$$ x = 3 $$

Find the value of \( 7x + 3x \):

$$ 7x + 3x = 10x $$

$$ 10(3) = 30 $$

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Step 2: Solve Problem 2

Given:

$$ \frac{11 - x}{4} = 2 $$

Multiply both sides by 4:

$$ 11 - x = 8 $$

Find the value of \( 4(11 - x) \):

$$ 4(8) = 32 $$

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Step 3: Solve Problem 3

Given:

$$ 7(x + 1) - 4(x + 1) = -2 $$

Combine like terms on the left side:

$$ 3(x + 1) = -2 $$

Find the value of \( 12(x + 1) \):

$$ 12(x + 1) = 4 \cdot [3(x + 1)] $$

$$ 4(-2) = -8 $$

Answer:

1. 30
2. 32
3. -8