Question

question 10 (1 point)
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solve for the unknown:
5*x+8-2=16

question 11 (1 point)
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solve for the unknown:
3y+8y-15=51

question 12 (1 point)
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solve for the unknown:
7x-24=3x

Explanation:

Question 10

Step1: Simplify left side

Simplify \(5x + 8 - 2\) to \(5x + 6\). So the equation is \(5x + 6 = 16\).

Step2: Subtract 6 from both sides

Subtract 6 from each side: \(5x + 6 - 6 = 16 - 6\), which gives \(5x = 10\).

Step3: Divide by 5

Divide both sides by 5: \(\frac{5x}{5}=\frac{10}{5}\), so \(x = 2\).

Step1: Combine like terms

Combine \(3y\) and \(8y\) to get \(11y\). The equation becomes \(11y - 15 = 51\).

Step2: Add 15 to both sides

Add 15 to each side: \(11y - 15 + 15 = 51 + 15\), so \(11y = 66\).

Step3: Divide by 11

Divide both sides by 11: \(\frac{11y}{11}=\frac{66}{11}\), so \(y = 6\).

Step1: Subtract \(3x\) from both sides

Subtract \(3x\) from each side: \(7x - 24 - 3x = 3x - 3x\), which simplifies to \(4x - 24 = 0\).

Step2: Add 24 to both sides

Add 24 to each side: \(4x - 24 + 24 = 0 + 24\), so \(4x = 24\).

Step3: Divide by 4

Divide both sides by 4: \(\frac{4x}{4}=\frac{24}{4}\), so \(x = 6\).

Answer:

\(x = 2\)

Question 11