SOLUTION: Solve the system by graphing, addition and substitution methods.
4x – 4y = –8
y = 2 + x
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Question 55214: Solve the system by graphing, addition and substitution methods.
4x – 4y = –8
y = 2 + x
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
Solve the system by graphing, addition and substitution methods.
4x – 4y = –8 .....1
y = 2 + x ................2
PUTTING 2 IN EQN.1
4X-4(2+X)=-8
4X-8-4X=-8
0=0
HENCE THE EQNS. ARE DEPENDENT/ CONSISTENT.SO THERE WILL BE INFINITE SOLUTIONS..SAY
X=0... Y=2...OR
X=1..Y=3..OR
X=2..Y=4..ETC..IN FACT
X,X+2.WITH ANY VALUE FOR X IS A SOLUTION SET.
X....................0.................1......................2...ETC
Y=2+X................2..................3......................4...ETC
Y=(4X+8)/4...........2..................3.....................4....ETC
THE 2 GRAPHS ARE IDENTICAL OR COINCIDENT.SO INFINITE SOLUTIONS ,WITH ANY POINT ON THE GRAPH BEING A SOLUTION.
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