hope it will help u..........
Hello,
The multiples of 7 are 7,14,21,28,35,42,49 : 7 balls
The multiples of 5 are 5,10,15,20,25,30,35,40,45,50 :10 balls
In total there are 50 balls
But there is a commun ball 35
p=(7+10-1)/50=16/50=8/25=0.32
Y = -4x + 7
This is the equation of the line. The slope is -4. The Y- intercept is 7
Answer:
c = -54
Step-by-step explanation:
Solve for c:
(7 c)/8 - 3 (c/8 - 7) = -6
Put each term in c/8 - 7 over the common denominator 8: c/8 - 7 = c/8 - 56/8:
(7 c)/8 - 3 c/8 - 56/8 = -6
c/8 - 56/8 = (c - 56)/8:
(7 c)/8 - 3(c - 56)/8 = -6
(7 c)/8 - (3 (c - 56))/8 = (7 c - 3 (c - 56))/8:
(7 c - 3 (c - 56))/8 = -6
-3 (c - 56) = 168 - 3 c:
(7 c + 168 - 3 c)/8 = -6
7 c - 3 c = 4 c:
(4 c + 168)/8 = -6
Multiply both sides of (4 c + 168)/8 = -6 by 8:
(8 (4 c + 168))/8 = -6×8
(8 (4 c + 168))/8 = 8/8×(4 c + 168) = 4 c + 168:
4 c + 168 = -6×8
8 (-6) = -48:
4 c + 168 = -48
Subtract 168 from both sides:
4 c + (168 - 168) = -168 - 48
168 - 168 = 0:
4 c = -168 - 48
-168 - 48 = -216:
4 c = -216
Divide both sides of 4 c = -216 by 4:
(4 c)/4 = (-216)/4
4/4 = 1:
c = (-216)/4
The gcd of -216 and 4 is 4, so (-216)/4 = (4 (-54))/(4×1) = 4/4×-54 = -54:
Answer: c = -54
You isolate one variable. Let's say that x will be that variable in the first equation:
x-y=1
+y +y
x=y+1
So now you have the equation for x. All you have to do is substitute it into the other:
x=y+1
(y+1)+y=3
Combine like terms and solve:
2y+1=3
-1 -1
2y=2
2y/2=2/2
y=1
Now that you have the value of one, substitute it into either of the equations to find x.
If you put it in the first:
x-1=1
+1 +1
x=2
If you put it into the other, you would get the same answer.
Therefore, y=1 and x=2
