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2 years ago

13

Both equations in a system of linear equations have a slope of 1/2. Does this system have infinitely many solutions? Explain. pl

ease help this is due tomorrow.

1 answer:

tino4ka555 [31]2 years ago

3 0

Answer:

yes both do have ims

Step-by-step explanation:

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Step-by-step explanation:

Let x = smaller number , y= larger number.

As per given,

$x=\dfrac{y}{3}$ ...(i)

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Put value of x from (i) in (ii)

$\dfrac{y}{3}+y=y^2-5\\\\\Rightarrow\ \dfrac43y=y^2-5\\\\\Rightarrow\ 3y^2-4y-15=0\\\\\Rightarrow\ 3y^2-9y+5y-15=0\\\\\Rightarrow\ 3y(y-3)+5(y-3)=0\\\\\Rightarrow\ (y-3)(3y+5)=0\\\\\Rightarrow\ y=3 \ \ or\ y=\dfrac{-5}{3}$

Since numbers are positive , so y=3 is correct.

And x will be 1 [from (i)]

Hence, the numbers are 1 and 3.

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