Answer:
The second option (5x+14-4x=23+x-9)
Step-by-step explanation:
For an equation to have infinitely many solutions each side must be exactly the same when simplified.
12+4x=6x+10-2x
Combine alike terms.
12+4x=4x+10
Subtract 4x from each side
12=10
This is not true so this equation has no solutions.
5x+14-4x=23+x-9
Combine alike terms
x+14=14+x
subtract x from each side
14=14
This is true so this equation has infinitely many solutions.
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
Answer:
x = - 2
y = 6
Step-by-step explanation:
The best way to do this is to put - 3x in for y in the second equation.
4x - 2(-3x) = - 20 Watch the signs. You have 2 minus signs.
4x - - 6x = -20 Change - - 6x to 6x
4x + 6x = - 20 Add
10x = - 20 Divide by 10
x = -20/10
x = - 2
============================
Find y
y = - 3x
y = -3 * -2
y = 6
Answer:
40 grams of 13% alcohol solution and 10 grams of 18% alcohol solution.
Step-by-step explanation:
13%(x) + 18%(50-x) = 14%*50g Multiply them all
0.13x + (9-0.18x) = 7
0.13x-0.18x + 9 = 7 Simplify the equation and subtract 0.13x from 0.18x
9-0.05x = 7 Add 0.05x to each side
9 = 7+0.05x Subtract 7 from both sides
0.05x = 2 Multiply each side by 100
5x = 200 Divide both sides by 5
x = 40
50 - 40 = 10
40 grams and 10 grams
Your welcome
4b^2 - 16 =
4(b^2 - 4) =
4(b + 2)(b - 2)
Total number of integers = 5
median
= (5+1)/2 th observation
= 3 rd observation
therefore the 3rd number = 13
now let the other number be x
total sum = 1+3+13+x+22 = 39+x
ATQ
(39+x)/5 = 16
39+x = 80
x = 41
the numbers are -
1,3,13,22,41
