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MA_775_DIABLO [31]
3 years ago
6

a(x+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?
Mathematics
1 answer:
xeze [42]3 years ago
7 0

Answer:

b= \frac{5}{2}

Step-by-step explanation:

Given

a(x+b)=4x+10\\ax+b= 4x+10\\

Now we know that system has infinite solution for x

\frac{a_1}{a_2}=\frac{b_1}{b_2}

in above equation.

a_1=a, a_2=4, b_1=ab,b_2=10\\

∴\frac{a}{4}=\frac{ab}{10}\\\therefore b=\frac{10\times a}{4\times a}=\frac{5}{2}

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