MATHEMATICS HIGH SCHOOL

Solve the following by substitution : -

x + y = 10
x - y = 5

Answers

Answer 1
Answer: \begin{cases} x + y = 10 \n x - y = 5 \end{cases}\n \n \begin{cases} y = 10 -x\n x - y = 5 \end{cases}\n \n \begin{cases} y = 10 -x\n x - (10-x) = 5 \end{cases}\n \n \begin{cases} y = 10 -x\n x - 10+x = 5 \end{cases}\n \n

\begin{cases} y = 10 -x\n 2x - 10 = 5 \end{cases}\n \n\begin{cases} y = 10 -x\n 2x = 5 +10 \end{cases}\n \n \begin{cases} y = 10 -x\n 2x =15 \ \ /:2 \end{cases}\n \n \begin{cases} y = 10 -x\n x =(15)/(2) \end{cases}\n \n

\begin{cases} y = 10 - 7(1)/(2)\n x =7(1)/(2) \end{cases}\n \n \begin{cases} y = 2(1)/(2)\n x = 8(1)/(2) \end{cases}\n \n
 
Answer 2
Answer: Your question is  -

x + y = 10
x - y = 5

Now, let us solve this system by the substitution method.

According to equation 2 ,

x - y = 5

thus, x = 5 + y

Substituting the value of x in equation 1,

(5 + y) + y = 10

5 + 2y = 10

2y = 10 - 5 = 5

thus, y = 5/2


Substituting the value of y in value of x,

x = 5 + y

= 5 + 5/2

= 15/2

Thus, x = 15/2 ( or 7.5) y = 5/2 ( or 2.5)

Related Questions

The perimeter(P 2l+2w)of a rectangle is 18 cm. If w is the width of the rectangle and L is the length, which graph below shows the relationship between the width and the length of the rectangle?
What is the distance between points (10, 7) and (2, 7) on a coordinate plane?
Which is the equation of the circle that has a diameter with endpoints located at (0, –3) and (6, 5)?
What is the original price if the percent of the discount is 15% and the sale price is $146.54​
Is it possible that image of a point after a reflection could be the same as the preimage?

!!!!!!!PLEASE HELP!!!!!!!!!
*35 POINTS PLUS BRAINLIEST PLEASE*

Answers

Well I can’t draw anything out but the 15 foot ladder will be at a slant enough so she can reach the bulb. Yes she will be safe. Hope this helps. ;)

Find the vertex of a function f(x)=-3x^2+9x-15 by completing the square

Answers

The vertex will be (3/2, - 33/4)

Use the normal distribution of fish lengths for which the mean is 9 inches and the standard deviation is 2 inches. Assume the variable x is normally distributed. (A) What percent of the fish are longer than 14 ​inches? (B) If 300 fish are randomly​ selected, about how many would you expect to be shorter than 8 ​inches?

Answers

Answer:

Step-by-step explanation:

Given that fish length X is having the normal distribution  for which the mean is 9 inches and the standard deviation is 2 inches.

X : N(9,2)

A) P(X<14) = P(z<(14-9)/(2) )\n=P(Z<2.5)\n=0.5+0.4938\n=0.9938

B) Here sample size = 300

P(X<8) = P(Z<(8-9)/(2) )=P(Z<-0.5)\n=0.3085

Out of 300 fish we can expect 300(0.3085) to be shorter

i.e. 92.55=93 fish

Amir arranged 9 photos on a bulletin board. He put the photos in rows. Each row contains the same number of photos. How many photos could be in each row?

Answers

Answer: There will be 3 rows with 3 photos.

Step-by-step explanation:

Since we have given that

Number of photos to be arranged by Amir on a bulletin board = 9

According to question, we have given that each row contains the same number of photos.

Let the number of rows be x

So, the number of photos also be x

So, our equation becomes

x^2=9\n\nx=√(9)\n\nx=3

So, there will be 3 rows with 3 photos.
three rows of threes 

How do you find LCM of 5 and 35​

Answers

Answer:

LCM is 35

Step-by-step explanation:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

Answer:

The answer would be 35

Step-by-step explanation:

The answer would be 35 because 35 is the least Common Multiple of 35 and 5

What is fx over gx when fx is -2x^3+x^2+16x-15 and gx is x + 3

Answers

If f(x)=-2x³+x²+16x-15 and g(x)=x+3, we can substitute the polynomial in for f(x) and the binomial for g(x) like so:
(2 x^(3)+ x^(2)+16x-15 )/(x+3)

The next step is to factor the numerator by grouping in the hopes that something will cancel!
((2 x^(3)+ x^(2)) +(16x-15) )/(x+3) \n ( x^(2) (2x+1)+16x-15)/(x+3) 

Unfortunately, because we can't factor anything out of the second grouped pair, that means there's no simplifying possible! So... 
(f(x))/(g(x)) = (2 x^(3)+ x^(2) +16x-15 )/(x+3)

Hope this helps!
Other Questions
What annual simple interest rate will increase Jacob Davidson’s initial investment of $5,000 to $6,000 in two years?multiple choice A)10% B)5% C)4% D)6%
Estimate the product of 46 x 31 = ________. Select the equation that correctly represents how to round each factor. (2 points)50 x 30 = ________45 x 35 = ________50 x 35 = ________40 x 30 = ________
Jovan is building a fort in his backyard using a 10-foot board He leans the base of the board 6 feet away from the base of the wall. How high will be bourd be able to reuch up the wall? If necessary round to the nearest tenth.​
Find the slope between the two points: (3,-2) and (4,7)