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Paraphin [41]
3 years ago
10

What is the solution to the system of equations?

Mathematics
1 answer:
KonstantinChe [14]3 years ago
6 0

Answer:

(2,5)

Step-by-step explanation:

First, we notice that

y = -x + 7

y = 2x + 1

Next, since both -x + 7 and 2x + 1 are equal to y, than by that logic it means

-x+7 = 2x+ 1

Add x to both sides

7 = 3x+1

Subtract 1 from both sides

6 = 3x

x = 2

Now that we solved x, let's plug x = 2 into either -x+7 or 2x + 1. Either way, both will have the same answer.

y = -x + 7

y = -(2) +7

y = 5

Therefore, the answer is

x= 2

y = 5

(2,5)

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I am thinking of two numbers.
taurus [48]

Answer:

6 and 8

Step-by-step explanation:

6+8=14 difference 2

5 0
2 years ago
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Ari and Greg share a 12-ounce bucket of clay. By the end of the week, Ari has used 1 6 of the bucket, and Greg has used 2 3 of t
kotegsom [21]

Answer:

2 ounces of clay is left in the bucket

Step-by-step explanation:

Total amount of clay in the bucket = 12 ounce

Ari used 1/6th of the clay in the bucket and Greg used 2/3 of the clay in the bucket

Hence, the remaining clay in the bucket

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12 - 2-8

2

3 0
2 years ago
Find the slope-intercept form of the equation of the line that passes through
yawa3891 [41]

Answer:

Step-by-step explanation:

12x - 3y = 10

-3y = -12x + 10

y = 4x - 10/3....the slope here is 4

parallel lines will have the same slope

y = mx + b

slope(m) = 4

(-5,3)...x = -5 and y = 3

now we sub and find b, the y int

3 = 4(-5) + b

3 = -20 + b

3 + 20 = b

23 = b

so ur equation is : y = 4x + 23 <==

5 0
2 years ago
5.
Pepsi [2]

Answer:

B. x = 2

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

check by substituting each given value of x into the function

x = 0 ⇒ y =  × 0² = 0

hence (0, 0) is correct

x = 2 ⇒ y =  × 4 = 3

hence (2, 4 ) is incorrect

x = 3 ⇒ y =  × 9 = 6  

hence (3, 6 ) is correct

x = 5 ⇒ y =  × 25 = 18  

hence (5, 18 ) is correct

7 0
2 years ago
find all integers x satisfying each of the following congruences mod n. if no such x exists, explain why not
zalisa [80]

Answer:

please find the solution:

Step-by-step explanation:

please find the correct question:

Given value:  

\to 4x \equiv  2(mod\ n) \ \ \ \ \ \ \ \ \ \ \ \ _{where} \ \  n=6\\\\\to  4x \equiv  2 (mod 6)

\to 4x-2 should be divisible by 6  we are also given that 0 \leq x < n  and start with x = 0  

\to 4x-2 =-2 which is not divisible by 6  

x= 1  

\to 4x-2 = 2 not divisilble by 6  

x= 2

\to 4x-2 = 6 which is divisible by 6  

x=3  

\to 4x-2 = 10 not divisible by 6

x=4  

\to 4x-2  = 14 not divisible by 6  

x=5

\to 4x-2  = 18 which is divisible by 6  

so such x are x = 2 and x = 5

4 0
3 years ago
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