PLEASEEEEEEEEEE HELPPPPPPP IM BEGGING :( (The first option is irrational, natural or whole /// third options are 2, 13.75 , or -
5/// third options are natural, irrational , or whole) thanks :')
1 answer:
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The system is
i)
ii)
In the second equation, the bases are equal, so we make the exponents equal to set the equation:
5y-4=10x-4. This means that 5y=10x, that is y=2x.
So, we can substitute y with 2x in the first equation:
.
Multiplying the second fraction by 2/2 and -1 by 2x/2x, we have:
.
Since the denominators are all equal, we can only work with the numerators, setting the equation:
-12+8x-10x+12=-2x,
simplifying we get 0-2x=-2x, that is -2x=-2x, which is always true. (Here remember that x cannot be 0 since x was in the denominator).
This means that for any (x, y) such that y=2x, the system is satisfied.
We can check that the correct statements are:
3) The point (1, 2) is a solution. (Since we have y=2x).
6) The system has infinitely many solutions. (Since any pair (x, 2x) is a solution, except when x=0)
i)
ii)
In the second equation, the bases are equal, so we make the exponents equal to set the equation:
5y-4=10x-4. This means that 5y=10x, that is y=2x.
So, we can substitute y with 2x in the first equation:
Multiplying the second fraction by 2/2 and -1 by 2x/2x, we have:
Since the denominators are all equal, we can only work with the numerators, setting the equation:
-12+8x-10x+12=-2x,
simplifying we get 0-2x=-2x, that is -2x=-2x, which is always true. (Here remember that x cannot be 0 since x was in the denominator).
This means that for any (x, y) such that y=2x, the system is satisfied.
We can check that the correct statements are:
3) The point (1, 2) is a solution. (Since we have y=2x).
6) The system has infinitely many solutions. (Since any pair (x, 2x) is a solution, except when x=0)