Answer:
y = 3
x =7
Step-by-step explanation:
to solve this system of equations using substitution method we say, let
5x + 4y = -22
.................... equation 1
2x – 3y = 5...................... equation 2
from equation 2
2x - 3y = 5
2x = 5 + 3y
divide both sides by 2
we have;
2x/2 = (5+3y)/2
x =(5+3y)/2................................ equation 3
put x = (5+3y)/2 in equation 1
5x + 4y = -22
.................... equation 1
5(5+3y)/2 + 4y = -22
(25 + 15y)/2 + 4y = -22
multiply through by 2
25 + 15y + 8y = -44
25 + 23y = -44
collect the like terms
23y = -44 - 25
23y = -69
divide both sides by 23
23y/23 = -69/23
y = 3
put the value of y= 3 into equation 3
x =(5+3y)/2................................ equation 3
x = (5+3(3)]/2
x = 5+9/2
x =14/2
x =7
Answer:
D.The right hand side value of 150 for constraint 3 can be increased by at most 50 without changing the optimal corner point.
Explanation:
To maximize 10X1 + 7X2 + 5X3; subject to the constraints: X1 + X2 + X3 <= 100; 2X2 + X3 >= 70; -X2 + X3 <= 150, the right hand side value of 150 for constraint 3 can be increased by at most 50 without changing the optimal corner point.
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❖ Carlos left home at 9:13.
Tina left 20 mins after Pedro so add 20 mins:
8:35 + 20 = 8:55
Carlos left 18 mins after Tina so add 18 mins:
8:55 + 18 = 9:13
~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡
~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ
If you are solving for x.
y=2.5x+5
you subtract 5 from both sides.
-5=2.5x
then divide both sides with 2.5
-5/2.5 2.5/2.5
the 2.5s will cancel each other out.
x=-2
Answer:
d= bv + r
Treat it like you would a normal equation. Multiply by b and add r to isolate d.