ANSWER
1. A
2. C
3. D
4. B
5. E
EXPLANATION
QUESTION A
The given system of equation is :
and
Make x the subject in equation (1)
This implies that;
Put equation(3) into equation (2).
Group like terms;
Put y=0 into equation(3).
(-8,0)
QUESTION B
First equation:
Second equation:
Subtract the first equation from the second equation.
Simplify;
Put x=1 into any of the equations, say the first one.
(1,3)
QUESTION C
First equation:
Second equation:
Make y the subject in the first equation;
Put y=-x-4 into the second equation;
Expand:
Group like terms:
Put x=-2 into
This implies that;
(-2,-2)
QUESTION D
First equation:4x+6y=-12
Second equation: 2x+3y=9
Divide the first equation by 2;
New equation: 2x+3y=-6
Subtract the second equation from the new equation;
. This statement is not true.
The system has no solution;
QUESTION E
First equation:
Second equation:
Divide the second equation by 4;
New equation:
Subtract the second equation from the new equation;
This statement is true.
This system has infinitely many solutions.