X=amount bag weighs now
⅔*¾ = x
2/4 = x
x=½ pounds
12 x 12 = 144
24 x 6 = 144
144 + 144 = 288 cm sqaured
2x^2+20x=-38 divide both sides by 2
x^2+10x=-19, halve the linear coefficient, square it, than add that value to both sides of the equation, in this case add (10/2)^2=25...
x^2+10x+25=6 now the left side is a perfect square
(x+5)^2=6 take the square root of both sides
x+5=±√6 subtract 5 from both sides
x=-5±√6 (so answer c.)
Answer:
x = 44/19, y = 33/20
Step-by-step explanation:
Multiply the first eq by 18, to get:
90/y - 36/x = 39
so 36/x = 90/y - 39
in this form we can plug it into the second eq:
90/y - 39 - 24/y = 1 =>
66/y = 40 =>
y = 66/40 = 33/20
Fill that in the first:
100/33 - 2/x = 13/6 =>
200/66 - 143/66 = 2/x =>
57/66 = 2/x =>
57x = 2*66
x = 132/57 = 44/19
