Determine the equations are independent


Discussion:

Q1. Solve each system by graphing. Include all of the points on the graph.

a) 3x-2y =6
3x =2y =6

b) 3y -3x =9
x-y=1

c) 4x - 5y =-2
3y-x=3

4) y= x + 4
3y-5x=6

Q2. Solve each system by substitution. Determine whether the equations are independent , dependent or inconsistent.

a)2x-y-3
2Y=4X-6

b) Y=3(X-4)
3X-y=12

Q3) Solve the equation using the substitution method.

a) 6x-3y=3
10x=y+7

Q4) Write a system of two equations with two unknowns for the problem. Solve the system by substitution.

Rectangular table: The width of a rectangular table is 1 ft less than half of the length. If the perimeter is 60 in than what are the length and width?

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Engineering Mathematics: Determine the equations are independent
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