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### Middle/High School Algebra, Geometry, and Statistics (AGS)1.23 Dependent Equations

 Dependent equations are consistent with many solutions. Example: two lines that coincide infinitely many points has many solutions. The equation ax + by + c = 0 is multiplied by a constant k, the resulting equation is kax + kby + kc = 0. The equation ax + by + c = 0 and kax + kby + kc = 0.are known as dependent equations. Example: If 3x + 2y + 3 = 0 and constant 2, write the dependent equation. solution: Multiply the given equation with the given constant term, we get the dependent equation. 2(3x + 2y + 3 = 0) = 6x+ 4y + 6 = 0. Directions: Choose the correct answer. Also write at least ten examples of your own.
 Q 1: If x + 7y + c = 0 and constant 33x+21y+3c=03x+3y+3c=0x+21y+3c=03x+21y+c=0 Q 2: If 3x + 5y + c = 0 and constant 721x+5y+7c=021x+35y+c=021x+35y+7c=03x+35y+7c=0 Q 3: If 2x + 5y + c = 0 and constant 62x+30y+6c=012x+30y+c=012x+30y+6c=012x+5y+6c=0 Q 4: If 3x + 2y - 5 = 0 and constant 39x+6y-5=09x+6y+15=09x+3y-15=09x+6y-15=0 Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!

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