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alx+b) = 4x + 10
In the equation above, a and b are constants. If the
equation has infinitely many solutions for x, what is
the value of b?

Respuesta :

kudzordzifrancis

Answer:

a=4, b=5/2

Step-by-step explanation:

Assuming the given equation is

[tex]a(x + b) = 4x + 10[/tex]

We expand the left hand side to get:

[tex]ax + ab = 4x + 10[/tex]

If this equation must have infinitely many solutions, then

[tex]ax = 4x \\ \implies \: a = 4[/tex]

Also we must have

[tex]ab = 10[/tex]

Put a=4 to get:

[tex]4b = 10[/tex]

[tex]b = \frac{10}{4} = \frac{5}{2} [/tex]

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