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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 3x + 2y - 5 = 0 and constant 39x+3y-15=09x+6y-15=09x+6y+15=09x+6y-5=0 Q 2: If x + 7y + c = 0 and constant 33x+21y+3c=03x+3y+3c=03x+21y+c=0x+21y+3c=0 Q 3: If 2x + 4y - c = 0 and constant 24x+8y+2c=04x+4y-2c=02x+8y-2c=04x+8y-2c=0 Q 4: If 2x + 3y + c = 0 and constant 36x+3y+3c = 02x+9y+3c = 06x+9y+3c = 06x+9y+c = 0 Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!

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