2x-5y=a
bx+10y=-8
In the system of equations above, a and b are constants. if the system has infinitely many solutions,
What is the value of a?
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Answer:2x-5y-a=0
bx+10y+8=0
a1/a2=b1/b2=c1/c2
2/b=-5/10=-a/8
-5/10=-a/8
cross multiply
-40=-10a
a=-40/-10
a=4
now,
2/b=-5/10
cross multiply
20=-5b
b=20/-5
b=4
therefore, a=4,b=4
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