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JulsSmile [24]
3 years ago
12

What is the solution to this system of linear equations? x + y = 4 x − y = 6 A: (4, 6) B: (6, 4) C: (5, −1) D: (−1, 5)

Mathematics
1 answer:
zhuklara [117]3 years ago
4 0

Answer:

C

Step-by-step explanation:

Given the 2 equations

x + y = 4 → (1)

x - y = 6 → (2)

Add the 2 equations term by term to eliminate y, that is

2x = 10 ( divide both sides by 2 )

x = 5

Substitute x = 5 into either of the 2 equations and evaluate for y

Substituting into (1)

5 + y = 4 ( subtract 5 from both sides )

y = - 1

solution is (5, - 1 ) → C

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pantera1 [17]

Answer:

b

Step-by-step explanation:

8 0
3 years ago
What’s the slope of the line that passes through 5,10 and 7,12
Marrrta [24]

Slope of the line passes through (5,10) and (7,12) is 1.

Step-by-step explanation:

Given,

The two points are (5,10) and (7,12).

To find the slope passing through the given points.

Formula

The slope of the line passing through (x_{1} ,y_{1}) and (x_{2} ,y_{2}) is \frac{y_{2} -y_{1} }{x_{2} -x_{1} }

Now, putting x_{1} =5,y_{1}=10, x_{2}=7, y_{2} =12 we get,

Slope = \frac{12-10}{7-5} = \frac{2}{2} = 1

Hence,

Slope of the line passes through (5,10) and (7,12) is 1.

7 0
3 years ago
Read 2 more answers
What is the constant rate of change ​
GaryK [48]

Answer:

-2

Step-by-step explanation:

up 2 over 1

going up hill

lmk if you have any questions

8 0
3 years ago
Alice and Bob have two positive integers, x and y respectively, glued to their foreheads, so that each can read the other’s numb
vazorg [7]

Step-by-step explanation: |x − y| = 1, ok lets play as Alice, my number is y, and the bob number is x.

the condition says that x-y = 1 or x-y = -1.

so, if you know x, then y = 1 +y or y = y - 1. so you have two possibilities.

let's see two cases : first, let's suppose there are no code in the conversation. Then the only way of being shure of your number, is if one of them have the lowest positive number, so the other should have the next one. So if Bob have the number one, Alice knows for shure that she has the  2. Bob knows that she has a 2, but that means he could have a 1 or a 3, but when he sees that Alice is shure about her number, he knows that his number is the 1.

the second case is where the conversation may be a sort of code, saying a phrase x times and changing when x = the number of the other person, in this case, bob will have the 201 and alice the 202.

7 0
3 years ago
A ball is thrown in the air from a ledge. It’s height in feet is represented by f(x) = -16(x^2-7x-8), where x is the number of s
Vika [28.1K]

you have to calculate the numbrrs

6 0
3 years ago
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