Question

IX. \( 10 x+7=77 \)

Ask by Mullins Williams. in the United States
Feb 18,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

\( x=7 \)

Solution

Solve the equation \( 10x+7=77 \). Solve the equation by following steps: - step0: Solve for \(x\): \(10x+7=77\) - step1: Move the constant to the right side: \(10x=77-7\) - step2: Subtract the numbers: \(10x=70\) - step3: Divide both sides: \(\frac{10x}{10}=\frac{70}{10}\) - step4: Divide the numbers: \(x=7\) The solution to the equation \(10x+7=77\) is \(x=7\).

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To solve the equation \( 10x + 7 = 77 \), you want to isolate \( x \). Start by subtracting 7 from both sides to get \( 10x = 70 \). Then, divide both sides by 10, leading to \( x = 7 \). Voilà! You’ve found that \( x \) equals 7! Now, how about checking your work? Substitute \( x = 7 \) back into the original equation: \( 10(7) + 7 \) should equal 77. And indeed, \( 70 + 7 = 77 \), confirming you nailed it! Keep practicing to sharpen your skills!

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