-In the system of equations in x and y, 2x+3y=12, 4x+ay=16, where a is an integer, what would a have to be for the equations to be inconsistent? -In the system of equations in x and y, 2x+3y=12, 4x+ay=b, where a is the answer to question 2, what would b be if the equations are dependent?

emancipezN 2021-01-19 Answered
-In the system of equations in x and y, 2x+3y=12, 4x+ay=16, where a is an integer, what would a have to be for the equations to be inconsistent?
-In the system of equations in x and y, 2x+3y=12, 4x+ay=b, where a is the answer to question 2, what would b be if the equations are dependent?
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Expert Answer

Willie
Answered 2021-01-20 Author has 95 answers
Step 1
To find value of a such that the system of equations 2x+3y=124x+ay=16 is inconsistent.
Using this value of a, to find value of b such that the system of equations 2x+3y=124x+ay=b is dependent.
Step 2
Let the system of equations be
a1x+b1y+c1=0
a2x+b2y+c2=0
a1a2=b1b2c1c2
Thus, for given system of equations
24=3a1216
12=3a
a=6
Step 3
System of equations is dependent, if
a1a2=b1b2=c1c2
Thus, for given system of equations
24=3a=12b
=36=12b
12=12b
b=24
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