Step-by-step explanation:
Given,
and
Substitute x = 2 into expression.
Answer:
a + b = 5
Step-by-step explanation:
To solve this system of equations, we can use a strategy called elimination, which is when we get rid of a variable by adding/subtracting two equations.
Firstly, we want to make sure the absolute value of the coefficients that equal.
Lets eliminate b:
4a + 6b = 24
Multiply both sides by 2:
8a + 12b = 48
We also have:
6a - 12b = -6.
Now lets add that with
8a + 12b = 48
-> 6a + 8a + 12b - 12b = 48 -6
-> 14a = 42
-> a = 3
Now that we know a, lets plug it into one of our original equations:
4(3) + 6b = 24
12 + 6b = 24
6b = 12
b = 2
Finally, add the two values we found:
a+b = 2+3= 5
9514 1404 393
Answer:
2) 3 pages per hour
3) 4/29 km per minute
Step-by-step explanation:
Division by a fraction is the same as multiplication by the inverse of that fraction.
<h3>2) </h3>
__
<h3>3) </h3>
Answer:
(14,-1)
Step-by-step explanation:
okay so first you need to use the "x=4y+10" in the first equation.
Rewrite as
3(4y+10) +11y=7
Distribute the 3(4y+10)
Rewrite as
12y+30
You'll have the equation
12y +30 +11y= 7
Subtract the 7 from both sides
12y+30+11y-7= 0
Combine like terms
23y+23=0
the best thing to do here is divide the equation by 23.
23/23 = 1
you'll have
y + 1 = 0
this simplifies to
y= -1
use this y value to solve for x
the easiest way to do this is start with the equation
x = 4y +10
Substitute the y for -1
x = -4(-1) +10
x = 4 +10
x = 14
the solution point is
(14,-1)
Answer:
17 green frogs
Step-by-step explanation:
You need to multiply the decimal form of 20% by 85.
To find the decimal form of a percent you take the decimal (20.00) and move it twice to the left (20.00 ---> .2000)
Now, multiply by .2 by 85
(.2)(85) = 17
Therefore, 17 frogs in the pond of 85 frogs are green
<em>Hope this helps!!</em>
<em>- Kay :)</em>
