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Marizza181 [45]
3 years ago
7

8x-5y=21 simultaneous linear equation2x+9y=-5

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
8 0

Answer:

x=2 and y=-1

Step-by-step explanation:

If two equations are given, we can solve one of the equation in terms of single variable and put it in the other equation which will further give the value of x and y.

For the given equations:

8x-5y=21              Equation:1

2x+9y=-5             Equation:2

Solving equation multiply equation 2 with 4 on both the sides

8x+36y=-20        Equation 3

Subtracting Equation:3 from Equation:1

8x-5y-(8x+36y)=21-(-20)\\8x-5y-8x-36y=21+20\\-41y=41\\y=-1

Putting value of 'y' in Equation:2 which will give the value of x

2x+9y=-5\\2x+9(-1)=-5\\2x-9=-5\\2x=4\\x=2

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A student is applying to Harvard and Dartmouth. If the student is accepted at Dartmouth, the probability of being accepted at Ha
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I made a probability tree. Pls. see attachment. 

Based on the probability tree I made, below are the probabilities

Probability of a student accepted at both Dartmouth and Harvard is:
50% x 40% = 20%

Probability of a student accepted at Dartmouth but not Harvard is:
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6 0
4 years ago
A . 12<br> B . 15<br> C . 36<br> D .39
yulyashka [42]

Answer:

The answer is 36 or c all you need to do is multiply 12 by 3

7 0
3 years ago
Read 2 more answers
What does "a"equal to?
slamgirl [31]
Distribute on the left side
7.4a+22.2=3.2a+43.2
Subtract 3.2a from both sides
4.2a+22.2=43.2
Subtract 22.2 from both sides
4.2a=21
Divide both sides by 4.2
a=5
5 0
3 years ago
What is the surface area of the triangular prism?<br><br><br> ​
Sergeu [11.5K]

Good morning ☕️

Answer:

<h2>168 ft²</h2>

Step-by-step explanation:

the surface area of the triangular prism =

2×(the base’s area) + the lateral area

the base’s area =

\frac{6*4}{2} =\frac{24}{2} =12

the lateral area =

9×(6 + 5 + 5) = 9×16 = 9×16 = 144

finally,

the surface area of the triangular prism = 24 + 144 = 168

___________________________________________

:)

7 0
3 years ago
Rewrite the expression by combining like terms.<br> 3xy + 8x^2+ 4y + 2y - 5x^2
Lelu [443]

Answer:

3x^2 + 3xy + 6y

Step-by-step explanation:

7 0
3 years ago
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