Question
Solve the system. Then classify the system as consistent and independent, consistent and dependent, or inconsistent.
24.) 4x+5y=3
6x+9y=9
26.) 1/2x -3y=10
1/4x +2y=-2
24.) 4x+5y=3
6x+9y=9
26.) 1/2x -3y=10
1/4x +2y=-2
Answers
Henry
24. Eq1: 4x + 5y = 3
Eq2: 6x + 9y = 9
Multiply Eq1 by 6 and Eq2 by -4 and add:
24x + 30y = 18
-24x - 36y = -36
Sum: -6y = --18
Y = 3
In Eq1, replace y with 3 and solve for x:
4x + 5*3 = 3
4x = 3-15 = -12
X = -3
26. Use same procedure as #24.
Multiply Eq1 by 2 and Eq2 by -4 and add
the Eqs.
Eq2: 6x + 9y = 9
Multiply Eq1 by 6 and Eq2 by -4 and add:
24x + 30y = 18
-24x - 36y = -36
Sum: -6y = --18
Y = 3
In Eq1, replace y with 3 and solve for x:
4x + 5*3 = 3
4x = 3-15 = -12
X = -3
26. Use same procedure as #24.
Multiply Eq1 by 2 and Eq2 by -4 and add
the Eqs.