Given:
The system of equations that represent the constraints for the given situation is
To find:
The solution of given system of equations.
Solution:
We have,
...(i)
...(ii)
Multiply equation (i) by 4.
...(iii)
Subtracting (iii) from (ii), we get



Divide both sides by 12.90.


Put this value in (i).



The solution of system of equations is x=1.5 and y=2.75. It means, the yards of silk are 1.5 and yards of cotton are 2.75.
Answer:
<em>24</em>
Step-by-step explanation:
1 hour and 36 minutes = 60 minutes + 36 minutes = 96 minutes
6/24 = x/96
24x = 6 * 96
24x = 6 * 4 * 24
x = 24
Answer:
Answer: x= -6 and y= -7
Step-by-step explanation:
Substitute 2x+5 for y in y=3x+11:
y=3x+11
2x+5=3x+11
2x+5+−3x=3x+11+−3x(Add -3x to both sides)
−x+5=11
−x+5+−5=11+−5(Add -5 to both sides)
−x=6
−x−1=6−1(Divide both sides by -1)
x=−6
Step: Substitute −6 for x in y=2x+5:
y=2x+5
y=(2)(−6)+5
y=−7(Simplify both sides of the equation)
-Source: MathPapa
Answer:
960 cubic centimeters
Step-by-step explanation:
Base area is area of triangle: b*h*1/2
= 12*8*1/2 = 48
Base area times height is 48*20 = 960
Answer:
x/4 (-3) = 5
Step-by-step explanation:
Simply translate into numbers. :D