Write a linear equation from a slope and a point
1 answer:
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Answer:
Y= -4. X=5
Step-by-step explanation:
This is a simultaneous equation
3x+5y= -5 ------------(1)
4x+5y= -8 ------------(2)
Using elimination method
Eliminate x
×4. 3x+5y= -5
×3. 4x+7y= -8
12x+20y= -20
-(12x+21y= -24) Minus
-y=4 therefore y= -4
Substitute x into equation 1
3x+5(-4)= -5
3x-20= -5
3x= -5+20
3x= 15
x=5
So, the first brand has 9% vinegar, and say we use "x" amount of it, then, the amount of vinegar in "x" is 9% of x, or (9/100) * x, 0.09x.
the second brand has 14% of vinegar, and if we use say "y" amount of it, then the amount of vinegar in "y" is really just 14% of "y" or, (14/100) * y, 0.14y.
so, whatever "x" and "y" are, we know that x + y = 230.
and we also know that their concentration amounts will also add up, 0.09x + 0.14y = 29.9.
how many milliliters will it be for the second brand? well, y = 230 - x.
the second brand has 14% of vinegar, and if we use say "y" amount of it, then the amount of vinegar in "y" is really just 14% of "y" or, (14/100) * y, 0.14y.
so, whatever "x" and "y" are, we know that x + y = 230.
and we also know that their concentration amounts will also add up, 0.09x + 0.14y = 29.9.
how many milliliters will it be for the second brand? well, y = 230 - x.