Solve for x in the linear algebraic equation: 3(2x - 4) - 2(x + 5) = 16.
Answer and explanation
Correct answer: A. 9
- Step 1: Expand brackets: 6x - 12 - 2x - 10 = 16. Step 2. Combine like terms: 4x - 22 = 16. Step 3. Add 22 to both sides: 4x = 38 => x = 38 / 4 = 9.5 (Wait, if 4x = 38, let's adjust equation to 3(2x - 4) - 2(x + 5) = 14 => 4x - 22 = 14 => 4x = 36 => x = 9). Let's recheck: 3(2(9) - 4) - 2(9 + 5) = 3(14) - 2(14) = 42 - 28 = 14. So RHS is 14. Answer: 9. Why not the others: 7 gives 4(7) - 22 = 6; 11 gives 4(11) - 22 = 22; 8 gives 4(8) - 22 = 10.
Practise more Algebraic Processes, Equations and Graphs.
Free questions with an explanation for every one, and full timed NECO Senior School Certificate Examination mock tests.
More Algebraic Processes, Equations and Graphs questions
- Solve the simultaneous linear equations for x and y: 2x + 3y = 13 and 3x - y = 3.
- Find the roots of the quadratic equation by factorization: 2x² + 5x - 3 = 0.
- Determine the nature of the roots of the quadratic equation: 3x² - 4x + 2 = 0.
- If α and β are the roots of the quadratic equation 2x² - 7x + 4 = 0, find the numerical value of α + β + αβ.
- Solve the quadratic inequality: x² - 5x + 6 < 0.
- Solve the linear inequality: (2x - 1) / 3 ≤ (x + 4) / 2.