3x-6y=2 (label equation 1)
5x+4y=1 (label equation 2)
-6y=-3x+2 (rearranged equation 1)
y=1/2x-1/3 (label equation 3)
substitute equation 3 into equation 2
5x+4(1/2x-1/3)=1
5x+2x-4/3=1
15x+6x-4=3 (multiplied everything by 3)
21x-4=3
+4 +4
21x=7
x= 7/21
x=1/3
sub x=7/21 into equation 3
y= 1/2(1/3) -1/3
y= -1/6
Therefore x=1/3 and y= -1/6
Answer:
4 and 2
Step-by-step explanation:
the LCD is the least common denominator and the denominator is the bottom number of the fraction.
Answer:
Reema bought 24 pencils in august.
Step-by-step explanation:
The shortest distance from A to B in the diagram is 17 m.
<h3>How to find the shortest distance?</h3>
The shortest distance from D to B can be found as follows:
using Pythagoras theorem,
c² = a² + b²
where
- c is the hypotenuse
- a and b are the other legs
Therefore,
DB² = 15² + 8²
DB² = 225 + 64
DB² = 289
DB = √289
DB = 17 m
learn more on distance here: brainly.com/question/20516334
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<span>1. 10 nickels.
2. 1 dime and 8 nickels.
3. 2 dimes and 6 nickels.
4. 3 dimes and 4 nickels.
5. 4 dimes and 2 nickels.
6. 5 dimes.
7. 1 quarter and 5 nickels.
8. 1 quarter, 1 dime, and 3 nickels.
9. 1 quarter, 2 dimes, and 1 nickel.
10. 2 quarters.
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