To solve this system by substitution, we must substitute in the value we are given for x in terms of y (the first equation) into the second equation. This is modeled below:
x = -8y - 15
2x + 5y = -8
2 (-8y - 15) + 5y = -8
Now, we should solve this new equation for y. To begin, we should use the distributive property to get rid of the parentheses on the left side of the equation and begin the simplification process.
-16y - 30 + 5y = -8
Next, we can combine like terms on the left side of the equation by adding together the two terms that both contain the variable y.
-11y - 30 = -8
Next, we should add 30 to both sides in order to move all of the constant (number) terms to the left side of the equation.
-11y = 22
After that, we should divide both sides of the equation by -11 in order to get the variable y alone.
y = -2
Now, we can substitute our value for y back into one of our original equations (it doesn't matter which one you choose; they will yield the same answer).
x = -8y - 15
x = -8(-2) - 15
To simplify, we should following the order of operations outlined by PEMDAS and compute the multiplication and then the subtraction.
x = 16 - 15
x = 1
Therefore, the answer to the system is x = 1 and y = -2, or (1,-2) when written as an ordered pair.
Hope this helps!
Answer:
4
Step-by-step explanation:
3n-2-n=6
2n-2=6
2n=8
n=4
Answer:
the answe is 10.30
Step-by-step explanation:
im also from k12 lol
<h2><u>
PLEASE MARK BRAINLIEST!</u></h2>
Answer:
To find the scale factor, all you have to do is <em>divide a side value of one figure by its congruent side value on another figure. </em>
Step-by-step explanation:
To start:
- The values 15 and 10 are both for the same congreunt side --> EF and E'F'
- The values 4 and 6 are both for the same congreunt side --> DE and D'E'
- The values 4 and 6 are both for the same congreunt side --> DG and D'G'
- The values 8 and 12 are both for the same congreunt side --> FG and F'G'
So, to find the scale factor, all you have to do is divide the smaller congruent value from the larger congruent value.
Larger congruent value ÷ smaller congruent value = scale factor
15 ÷ 10 = scale factor
\____________________/
1.5
<h3>So, the scale factor is 1.5</h3>
To double check, we will use another congruent side to find the scale factor:
12 ÷ 8 = scale factor
1.5 = scale factor
<h3>So, the scale factor is most definitely 1.5</h3>
I hope this helps!
- sincerelynini
The price of the stereo on sale
is
275 - ( 275x15% ) =
233.75
the comission is 233.75 x 2 % =
233.75 x 2/100 = 4.675
