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Questions and Answers
What is the solution to the equation $3x - 7 = 8$?
What is the solution to the equation $3x - 7 = 8$?
- $x = -1$
- $x = 15$
- $x = 1$
- $x = 5$ (correct)
What is the solution to the equation $2(4x + 5) = 18$?
What is the solution to the equation $2(4x + 5) = 18$?
- $x = 2$ (correct)
- $x = -1$
- $x = -2$
- $x = 1$
What is the solution to the equation $5x + 3 = 2x - 4$?
What is the solution to the equation $5x + 3 = 2x - 4$?
- $x = -7$ (correct)
- $x = 3$
- $x = 7$
- $x = -3$
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Study Notes
Solving Linear Equations
- To solve the equation $3x - 7 = 8$, add 7 to both sides, resulting in $3x = 15$, and then divide both sides by 3, giving $x = 5$.
- The equation $2(4x + 5) = 18$ can be solved by first distributing the 2, resulting in $8x + 10 = 18$, then subtracting 10 from both sides, giving $8x = 8$, and finally dividing both sides by 8, yielding $x = 1$.
- The solution to the equation $5x + 3 = 2x - 4$ can be found by subtracting 2x from both sides, resulting in $3x + 3 = -4$, then subtracting 3 from both sides, giving $3x = -7$, and finally dividing both sides by 3, yielding $x = -\frac{7}{3}$.
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