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masha68 [24]
3 years ago
8

4x+y=15,3x+5y=41 solve by substitution and check the solution

Mathematics
1 answer:
melomori [17]3 years ago
3 0

Answer:

{x,y} = {2,7} 

Step-by-step explanation:

// Solve equation [1] for the variable  y 

 

[1] y = -4x + 15

// Plug this in for variable  y  in equation [2]

  [2] 3x + 5•(-4x+15) = 41   [2] -17x = -34

// Solve equation [2] for the variable  x 

  [2] 17x = 34    [2] x = 2 

// By now we know this much :

  x = 2   y = -4x+15

// Use the  x  value to solve for  y 

  y = -4(2)+15 = 7 

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If the freshman class of 63 students has 11 more boys than girls, determine how many of each are in the class.g 1
torisob [31]
B + G = 63
B = G + 11

G + 11 + G = 63
2G + 11 = 63
2G = 63 - 11
2G = 52
G = 52/2
G = 26 <=== 26 girls

B = G + 11
B = 26 + 11
B = 37 <=== 37 boys

4 0
3 years ago
Andrew is two years older than Beatrice, and Chris is three years younger than Beatrice. The product of Andrew's age and Chris'
stich3 [128]

Answer:

9

Step-by-step explanation:

A = B + 2

C = B - 3

A x C = 66

A = Andrew

C = Chris

B = Beatrice

Multiply A and c together

(B + 2) x (b - 3)

b^2 - 3b + 2b - 6

b^2 -b - 6 = 66

b^2 - b - 72 = 0

factors of -72b^2 that add up to - b are -9b + 8b

b^2 + 8b -9b - 72

b (b + 8) -9(b + 8)

b = 9 or - 8

b = 9

5 0
3 years ago
Whats another way to write 171.9%
Nastasia [14]
p\%=\frac{p}{100}\\\\171.9\%=\frac{171.9}{100}=\frac{171.9\cdot10}{100\cdot10}=\frac{1719}{1000}=\boxed{1\frac{719}{1000}=1.719}
3 0
3 years ago
HELP IS THIS correct??? !!!
Allushta [10]

Answer:

No

Step-by-step explanation:

                                            x           y

y = - 3(-2) + 1 =  7                -2        7        

y = -3(0) +1 = 1                      0         1

y = -3(1) + 1 = -2                    1          -2

y = -3(3) + 1 = -8                   3      -8

8 0
3 years ago
Choose whether the probability is mutually exclusive or not
Semmy [17]

9514 1404 393

Answer:

  mutually exclusive

Step-by-step explanation:

The formula of interest is ...

  P(A or B) = P(A) + P(B) - P(A and B)

Filling in the given values, we have ...

  9/10 = 2/5 + 1/2 - P(A and B)

Solving for P(A and B), we get ...

  P(A and B) = 2/5 +1/2 -9/10 = 4/10 +5/10 -9/10

  P(A and B) = 0

__

Events are mutually exclusive when <em>they can never happen at the same time</em>. That is, P(A and B) = 0.

The events A and B are mutually exclusive.

4 0
2 years ago
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