Solve each linear equation. See Examples 1–3. 0.2x - 0.5 = 0.1x + 7
Table of contents
- 0. Review of College Algebra4h 43m
- 1. Measuring Angles40m
- 2. Trigonometric Functions on Right Triangles2h 5m
- 3. Unit Circle1h 19m
- 4. Graphing Trigonometric Functions1h 19m
- 5. Inverse Trigonometric Functions and Basic Trigonometric Equations1h 41m
- 6. Trigonometric Identities and More Equations2h 34m
- 7. Non-Right Triangles1h 38m
- 8. Vectors2h 25m
- 9. Polar Equations2h 5m
- 10. Parametric Equations1h 6m
- 11. Graphing Complex Numbers1h 7m
- OLD 1. Angles and the Trigonometric Functions Coming soon
- OLD 2. Trigonometric Functions graphs, Inverse Trigonometric Functions Coming soon
- OLD 3. Trigonometric Identities and Equations Coming soon
- OLD 4. Laws of Sines, Cosines and Vectors Coming soon
- OLD 5. Complex Numbers, Polar Coordinates and Parametric Equations Coming soon
- NEW (not used) 7. Laws of Sines, Cosines and Vectors Coming soon
- NEW (not used) 8. Vectors Coming soon
- NEW(not used) 9. Polar equations Coming soon
- NEW (not used) 11. Graphing Complex Numbers Coming soon
0. Review of College Algebra
Solving Linear Equations
Multiple Choice
Solve the equation. Then state whether it is an identity, conditional, or inconsistent equation.
5x+17=8x+12−3(x+4)
A
Identity
B
Conditional
C
Inconsistent
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Verified step by step guidance1
Start by simplifying the equation. Distribute the -3 across the terms inside the parentheses: -3(x + 4) becomes -3x - 12.
Rewrite the equation with the distributed terms: 5x + 17 = 8x + 12 - 3x - 12.
Combine like terms on the right side of the equation: 8x - 3x becomes 5x, and 12 - 12 becomes 0. So, the equation simplifies to 5x + 17 = 5x.
Subtract 5x from both sides of the equation to isolate the constant terms: 5x + 17 - 5x = 5x - 5x, which simplifies to 17 = 0.
Since 17 = 0 is a false statement, the equation is inconsistent, meaning there are no values of x that satisfy the equation.
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