How many solutions does the equation have?4(2x + 3)= 2(3x-4)
A. one solution
B. Infinite solutions
C. no solution
Answers
Answer 1
Answer:
%3D%202(3x-4)%20%5C%5C%20%5C%5C%202(2x%20%2B%203)%20%3D%203x%20-%204%20%5C%20%2F%20%5C%20divide%5C%20each%20%5C%20side%20%5C%20by%20%5C%202%20%5C%5C%20%5C%5C%204x%20%2B%206%20%3D%203x%20-%204%20%5C%20%2F%20%5C%20expand%20%5C%20equation%20%5C%5C%20%5C%5C%204x%20%2B%206%20-%203x%20%3D%20-4%20%5C%20%2F%20%5C%20subtract%20%5C%203x%20%5C%20from%20%5C%20each%20%5C%20side%20%5C%5C%20%5C%5C%20x%20%2B%206%20%3D%20-4%20%5C%20%2F%20%5C%20simplify%20%5C%5C%20%5C%5C%20x%20%3D%20-4%20-%206%20%5C%20%2F%20%5C%20subtract%20%5C%206%20%5C%20from%20%5C%20each%20%5C%20side%20%5C%5C%20%5C%5C%20x%20%3D%20-10%20%5C%20%2F%20%5C%20simplify%20%5C%5C%20%5C%5C%20Answer%3A%20%5Cfbox%20%7BA)%20One%20solution%20%2F%20x%20%3D%20-10%7D)
Answer 2
Answer:
4(2x + 3) = 2(3x - 4)
Keep in mind the distributive property:
a(b + c) = ab + ac
a(b - c) = ab - ac
So, apply the distributive property to get:
4(2x) + 4(3) = 2(3x) - 2(4)
Simplifying that more, we get:
8x + 12 = 6x - 8
Subtract 6x on both sides
8x + 12 - 6x = 6x - 8 - 6x
8x - 6x + 12 = -8
2x + 12 = -8
Subtract 12 on both sides
2x + 12 - 12 = -8 - 12
2x = -8 - 12
2x = -20
Divide by 2 on both sides
2x/2 = -20/2
x = -20/2
x = -10
There is only one solution, so your answer is A. one solution.
Keep in mind the distributive property:
a(b + c) = ab + ac
a(b - c) = ab - ac
So, apply the distributive property to get:
4(2x) + 4(3) = 2(3x) - 2(4)
Simplifying that more, we get:
8x + 12 = 6x - 8
Subtract 6x on both sides
8x + 12 - 6x = 6x - 8 - 6x
8x - 6x + 12 = -8
2x + 12 = -8
Subtract 12 on both sides
2x + 12 - 12 = -8 - 12
2x = -8 - 12
2x = -20
Divide by 2 on both sides
2x/2 = -20/2
x = -20/2
x = -10
There is only one solution, so your answer is A. one solution.
Related Questions
How would I do this? Please explain instead of just giving me the answer.
How do I find the surface area of a cube? Please help! Thanks
John earned $12 on Saturday but he only managed to earn half of the amount on Sunday.He earned $26 the previous weekend. How much more does he need to earn to give the $60 he needs to buy a new hockey stick ?
What makes a constant term differ from a term with a variable
Please Answer!!!!Which set of coordinates satisfies equations 3x-2y=15 and 4x-y =20?A. (2,-7)B. (1,-6)C. (0,-7.5)D. (5,0)
How do I find the surface area of a cube? Please help! Thanks
John earned $12 on Saturday but he only managed to earn half of the amount on Sunday.He earned $26 the previous weekend. How much more does he need to earn to give the $60 he needs to buy a new hockey stick ?
What makes a constant term differ from a term with a variable
Please Answer!!!!Which set of coordinates satisfies equations 3x-2y=15 and 4x-y =20?A. (2,-7)B. (1,-6)C. (0,-7.5)D. (5,0)
Answers
You'll leave 64 equal pieces on the paper.
64 eq194, 55, 94 noob
49% of 15
Answers
49%=0.49
0.49x15=7.35
49% of 15 is 7.35
49% of 15 is 7.35
hope that helps
hope that helps
Answers
6: 6,12,18,24,30,36,42,48,54,60
12: 12,24,36,48
16: 16,32,48
Answer: 48
First you write down all the multiples of 6,12 and 16 then you find the first number that appears in each of the lists of numbers or the one that is the least common multiple.
12: 12,24,36,48
16: 16,32,48
Answer: 48
First you write down all the multiples of 6,12 and 16 then you find the first number that appears in each of the lists of numbers or the one that is the least common multiple.
16|2
8|2
4|2
2|2
1
6|2
3|3
1
12|2
6|2
3|3
1
%3D2%5E4%5Ccdot3%3D16%5Ccdot3%3D48)
8|2
4|2
2|2
1
6|2
3|3
1
12|2
6|2
3|3
1
Answers
If we were to write this as a mathematical equation, it would look something like this:
3x + 7 = 4x + 5
In order to solve, we would need to isolate the variable. We can do this by subtracting 3x from both sides, after doing which, we are left with this:
7 = x + 5
Then, we subract 5 from both sides to isolate the variable
2 = x
That number you are looking for is 2.
Let's check out work by substituting 2 in for the unknown number in the original problem:
3(2) + 7 = 4(2) + 5
6 + 7 = 8 + 5
13 = 13
And we can see that the numbers do indeed check out.
Your answer is 2.
Hope that helped! =)
3x + 7 = 4x + 5
In order to solve, we would need to isolate the variable. We can do this by subtracting 3x from both sides, after doing which, we are left with this:
7 = x + 5
Then, we subract 5 from both sides to isolate the variable
2 = x
That number you are looking for is 2.
Let's check out work by substituting 2 in for the unknown number in the original problem:
3(2) + 7 = 4(2) + 5
6 + 7 = 8 + 5
13 = 13
And we can see that the numbers do indeed check out.
Your answer is 2.
Hope that helped! =)
Answers
Answer:
E. -5i/4
Step-by-step explanation:
A.12
B.13.2
C.14.5
D.14.9
Answers
To find the median, we must order the numbers.
12,12,13,13,14,15,16,17,18,19
Now see which one is in the middle.
We are stuck between 14 and 15, so what is between those?
14.5 is between 14 and 15, so that is the median.
Answer: 14.5 is the median
12,12,13,13,14,15,16,17,18,19
Now see which one is in the middle.
We are stuck between 14 and 15, so what is between those?
14.5 is between 14 and 15, so that is the median.
Answer: 14.5 is the median
Other Questions