Replace the informations you don't know with letters.
x = number of bags
y = number of sandwiches
7x + 3y = 22
3x + y = 8
Then solve the equations.
First, isolate the y in the second one like this :
y = 8 - 3x
then replace the y in the first equation with its worth from the second equation :
7x + 3(8 - 3x) = 22
solve for x, then replace the value in the equations to get the value of y
Answer:
In the given figure the point on segment PQ is twice as from P as from Q is. What is the point? Ans is (2,1).
Step-by-step explanation:
There is really no need to use any quadratics or roots.
( Consider the same problem on the plain number line first. )
How do you find the number between 2 and 5 which is twice as far from 2 as from 5?
You take their difference, which is 3. Now splitting this distance by ratio 2:1 means the first distance is two thirds, the second is one third, so we get
4=2+23(5−2)
It works completely the same with geometric points (using vector operations), just linear interpolation: Call the result R, then
R=P+23(Q−P)
so in your case we get
R=(0,−1)+23(3,3)=(2,1)
Why does this work for 2D-distances as well, even if there seem to be roots involved? Because vector length behaves linearly after all! (meaning |t⋅a⃗ |=t|a⃗ | for any positive scalar t)
Edit: We'll try to divide a distance s into parts a and b such that a is twice as long as b. So it's a=2b and we get
s=a+b=2b+b=3b
⇔b=13s⇒a=23s
I don't get ur question
Can u be more specific
Answer:
1. 8 dimes and 7 quarters
2. 14 nickles and 11 pennies
Step-by-step explanation:
Good Luck
Answer:
x = -9
Step-by-step explanation:
-2x - 14 = 4
-2x = 18
-x = 9
x = -9