Answer: x = -3, y = 2
<u>Step-by-step explanation:</u>
3x + 2y = -5 → 3(3x + 2y = -5) → 9x + 6y = -15
4x - 3y = -18 → 2(4x - 3y = -18) → <u> 8x - 6y </u>= <u>-36 </u>
17x = -51
<u> ÷17 </u> <u>÷17 </u>
x = -3
3x + 2y = -5
3(-3) + 2y = -5
-9 + 2y = -5
<u> +9 </u> <u> +9 </u>
2y = 4
<u> ÷2 </u> <u>÷2 </u>
y = 2
Let the number of Sociology books = y; the number of History books = x
⇒ x + y = 475 (2)
also since the number of history books sold was 83 less than sociology,
then x = y - 83 (1)
BY substituting (1) into (2)
⇒ (y - 83) + y = 475
2y = 475 + 83
y = (558 ÷ 2)
y = 279
⇒ x = 279 - 83
x = 196
∴ Number of History books is 196 & number of Sociology books is 279.
There are 52 cards in a deck, half the cards aware red and half the cards are red.
First card being red is 26/52 = 1/2
After the first card is dealt there are 51 cards left and 26 are black so dealing a black card = 26/51
After 2 cards are dealt there are 50 cards left and 25 red ones left. The probability would be 25/50 = 1/2
The probability of all 3 happening = 1/2 x 26/51 x 1/2 = 13/102
Answer: 13/102
Step-by-step explanation:
a.
if x=-1 then,
y=2*(-1)-1
y=-2-1
y=-3
if y=-1 then,
-1=2x-1
-2x=-1+1
-2x=0
x=0
if x=1 then,
y=2*1-1
y=2-1
y=1
if y=3 then,
3=2x-1
-2x=-1-3
-2x=-4
-2/-2x=-4/-2
x=2
b.
if x=0 then,
0+y=-2
y=-2
if x=1 then,
y+1=-2
y=-1-1
y=-3
if x=2 then,
y+2=-2
y=-2-2
y=-4
if x=3 then,
y+3=-2
y=-2-3
y=-5
Answer:
XY: 15.23
Step-by-step explanation:
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