Answer:
2x-3y=2
x=6y-5
2(6y-5)-3y=2
use the distributive property.
2*6y=12y
2*-5=-10
12y-10-3y=2
combine like terms
12y-3y=9y
9y-10=2
add 10 to both sides.
9y-10+10=9y
2+10=12
9y=12
divide both sides by 9
9y/9=y
y=about 1.33
plug in the value of y in the expression equal to the value of x.
x=6(1.33)-5
solve
6*1.33=7.98
x=7.98-5
7.98-5=2.98
Step-by-step explanation:
x=2.98
y=1.33
2(x + 6) is what you’re looking for. Have a good day!
Answer:
Step-by-step explanation:
Negative sign is outside the parenthesis. So, each term of (4k² - 13k -12) should be multiplied by (-1)
-(4k² - 13k -12) + 5k² - 8k = 4k²*(-1) - 13k*(-1) - 12*(-1) + 5k² - 8k
= -4k² + 13k + 12 +5k² - 8k
Combine like terms,
= -4k² + 5k² + 13k - 8k + 12
= k² + 5k + 12
Like terms are the terms with same variable with same exponent.
(-4k² ) and 5k² are like terms
13k and (-8k) are like terms
To solve y, we need to make y the only value on the left hand side of the equation:
![3x - 3x - y = 14 \\ 3x - 3x - y = 14 - 3x \\ - y = 14 - 3x \\ y = - (14 - 3x) \\ y = - 14 + 3x](https://tex.z-dn.net/?f=3x%20-%203x%20-%20y%20%3D%2014%20%5C%5C%20%203x%20-%203x%20-%20y%20%3D%2014%20-%203x%20%5C%5C%20%20-%20y%20%3D%2014%20-%203x%20%5C%5C%20y%20%3D%20%20-%20%2814%20-%203x%29%20%5C%5C%20y%20%3D%20%20-%2014%20%2B%203x)
Therefore the value of y = -14+3x.
Hope it helps!
There are 12 ways he can pay this amount using the notes he has the answer is 12.
<h3>What are permutation and combination?</h3>
A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
Let x be the number of Rs10 notes and y be the Rs20 note
10x + 20y = 220
The whole number of x and y which satisfy the above equation:
x = 0, y =11
x = 2, y =10
x = 4, y =9
x = 6, y =8
x = 8, y =7
x = 10, y =6
x = 12, y =5
x = 14, y =4
x = 16, y =3
x = 18, y =2
x = 20, y =1
x = 22, y =0
Total number of ways = 12
Thus, there are 12 ways he can pay this amount using the notes he has the answer is 12.
Learn more about permutation and combination here:
brainly.com/question/2295036
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