Asked by ronny
4+2(5x-8)=ax+b
Answers
Answered by
ronny
i need to know what a and b equals so the equation would have infinite solutions
Answered by
Bosnian
4 + 2 ( 5 x - 8 ) = a x + b
4 + 2 ∙ 5 x + 2 ∙ ( - 8 ) = a x + b
4 + 10 x - 16 = a x + b
10 x - 12 = a x + b
Subtract a x to both sides
10 x - a x - 12 = b
x ( 10 - a ) - 12 = b
Add 12 to both sides
x ( 10 - a ) = b + 12
Divide both sides by 10 - a
x = ( b + 12 ) / ( 10 - a )
a ≠ 10
because when a = 10 then it divides by zero and x is undefined.
( a ≠ 10 means "a is not equal to 10" )
This equation has infinitely many solutions because you have one equation and two variables (a and b).
This means that for each value of the variable b you can take any value of the variable a, so the equation has infinitely many solutions.
4 + 2 ∙ 5 x + 2 ∙ ( - 8 ) = a x + b
4 + 10 x - 16 = a x + b
10 x - 12 = a x + b
Subtract a x to both sides
10 x - a x - 12 = b
x ( 10 - a ) - 12 = b
Add 12 to both sides
x ( 10 - a ) = b + 12
Divide both sides by 10 - a
x = ( b + 12 ) / ( 10 - a )
a ≠ 10
because when a = 10 then it divides by zero and x is undefined.
( a ≠ 10 means "a is not equal to 10" )
This equation has infinitely many solutions because you have one equation and two variables (a and b).
This means that for each value of the variable b you can take any value of the variable a, so the equation has infinitely many solutions.
Answered by
ronny
but i need value of a and b and how u answer at 2:17 am when its 1:23 am
Answered by
oobleck
4+2(5x-8) = 10x-12
So make that identical to ax+b
So make that identical to ax+b
Answered by
Bosnian
I am from Bosnia.
Now is 9:00 am here.
Now is 9:00 am here.
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