You can set both equations together
y = -3x + 1
and y = x - 3
we can replace the y of one equation with the other side
-3x+1 = x-3
add 3x on both sides
1 = x + 3x -3
add 3 on both sides
1 + 3 = x+ 3x
simplify
4 = 4x
divide by 4 on both sides
x = 1
y = x - 3
y = 1 - 3
y = 2
So the solution is: (1,2)
Answer:
The volume of the sphere is
.
Step-by-step explanation:
The diameter of a sphere is 0.926 inch. It is required to find the volume of the sphere. The formula used to find the volume of sphere is given by :

Since, r is radius, r = d/2 = 0.463 inch
So,

So, the volume of the sphere is
.
Well if you're solving for x this would be rather simple. 7x +1=68 , then you'd minus 1 from both sides. 7x = 67 then divide 67 by 7. The answer isn't a whole number so x would either be 67/7 or 9.57.. etc.
Let the number of islands visited be x and that peninsulas be y
thus,
x+y=19
⇒y=19-x.........i
if he skydives twice in islands and thrice in peninsulas, then the total number of skydives will be:
2x+3y=45.....ii
substituting i in ii we get:
2x+3(19-x)=45
2x+57-3x=45
putting like terms together we get:
2x-3x=45-57
-x=-12
therefore
x=12
and
y=19-x=19-12=7
hence the number of islands visited was 12 and that of peninsulas was 7
Answer:
B)
x < –8
Step-by-step explanation:
–2x – 3 > 13
Add 3 to each side
–2x – 3+3 > 13+3
-2x > 16
Divide each side by -2, remembering to flip the inequality
-2x/-2 < 16/-2
x < -8