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skelet666 [1.2K]
2 years ago
5

Find the solution to the system of equations x + y = 9 and x - y = -1.

Mathematics
2 answers:
Galina-37 [17]2 years ago
6 0

Answer:

(4, 5 )

Step-by-step explanation:

x + y = 9 → (1)

x - y = - 1 → (2)

adding the 2 equations term by term will eliminate y

2x + 0 = 8

2x = 8 ( divide both sides by 2 )

x = 4

substitute x = 4 into either of the 2 equations and solve for y

substituting into (1)

4 + y = 9 ( subtract 4 from both sides )

y = 5

solution is (4, 5 )

DerKrebs [107]2 years ago
3 0
Answer: x = 4, y = 5

Step-by-Step Explanation:

=> x + y = 9 (Eq. 1)
=> x - y = -1 (Eq. 2)

Lets Solve by Elimination Method.

Adding Eq. 1 and Eq. 2, we get :-

2x = 9 - 1
2x = 8
x = 8/2
=> x = 4

Therefore, x = 4

Substitute value of ‘x’ in Eq. 1 :-

x + y = 9
4 + y = 9
y = 9 - 4
=> y = 5

Therefore, y = 5

Hence, x = 4 and y = 5 (4, 5)
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Step-by-step explanation:

This construction shows how to draw the perpendicular bisector of a given line segment with compass and straightedge or ruler. This both bisects the segment (divides it into two equal parts, and is perpendicular to it. It finds the midpoint of the given line segment.

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On a coordinate plane, what is the distance between the points (-1,5) and (2,5)? Enter the answer in the box.
zlopas [31]

Answer:

The distance between (-1,5) and (2,5) is √9 or 3.

Step-by-step explanation:

Okay first, just for explaining purposes, let's call the ordered pair (-1,5) letter A and ordered pair (2,5) letter B.

Now to the answer. To start you use the distance formula. which is:

d=√( (x2-x1)²+(y2-y1)²)

Then you solve by plugging the ordered pairs into the formula where -1 from point A is X1 and 5 from point A is Y1. 2 from point B is X2 and 5 from point B is Y2.

When you solve it should look like this:

1. d=√( (x2-x1)²+(y2-y1)²)

2. d=√( (2- -1)²+(5-5)²) *2 minus a negative one means plus so we get 3*

3.  d=√( (3)²+(0)²)

4. d=√( 9+0)

5. √9 = 3

7 0
3 years ago
An uncooked gingerbread cookie is y centimeters long. After it is baked, the length of the
marusya05 [52]

Answer:

I think the answer is C

Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
Which number produces an irrational number when added to 0.4?
Bingel [31]

Answer:

Where a and b are whole numbers. π is an irrational number when it is added to 0.4 we will get an irrational number . π+0.4=3.5415... The division is not coming to end and so we ger an irrational number.

hope u find this helpful!

7 0
2 years ago
a concession stand is selling hot dogs and hamburgers during a game. at halftime they sold a total of 78 hot dogs and hamburgers
lara31 [8.8K]
Let x=number of hamburgers sold and y=number of hot dogs sold.
Step 1)
cost of burgers X # of burgers + cost of hotdogs X # of hotdogs=$ collected               1.5x + 1.25y=105.5

step 2)
# of burgers sold + number of hot dogs sold = total number of items sold
     x + y = 78

step 3)  solve for y in the second equation
     y = 78 - x

step 4)  substitute y = 78 - x in the first equation for the value of y and solve for x
     1.5x + 1.25(78 - x)=105.50
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step 5)  plug in our value for x in the second equation and solve for y
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     y=46

answer       32 hamburgers and 46 hot dogs
3 0
3 years ago
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