Solve the system of equations using the Addition method. 2a + 3b = -1 3a + 5b = -2

1 answer:

8 0

2a + 3b = -1
3a + 5b = -2

3(2a + 3b = -1) --> 6a + 9b = -3
2(3a + 5b = -2) --> 6a + 10b = -4
- ___________
b = -1

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

2(1) + 3(-1) = -1 --> 2 - 3 = -1
3(1) + 5(-1) = -2 --> 3 - 5 = 2

Answer:
a = 1
b = -1

Hope this helps.

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Fiona wrote the linear equation y = 2/5x -5. When Henry wrote his equation, they discovered that his equation had all the same s

Margarita [4]

Given the equation written by Fiona and Henry, If both linear equations have the same solutions, Henry's equation is x - 5/2y = 25/2.

Hence, option D is the correct answer.

This question is incomplete, the missing answer choices are;

A. x- 5/4y =25/4

B. x-5/2y=25/4

C. x-5/4y =25/4

D. x- 5/2y=25/2

<h3>Which equation could be Henry’s?</h3>

Given the linear equation written by Fiona; y = 2/5x - 5.

From the answer choices provided, they are in the form of x - (m)y = b.

We will transform Fiona's equation into that form.

y = 2/5x - 5

Divide each term by the coefficient of x.

y(5/2) = (5/2)2/5x - (5/2)5

5/2y = x - 25/2

25/2 = x - 5/2y

x - 5/2y = 25/2

Given the equation written by Fiona and Henry, If both linear equations have the same solutions, Henry's equation is x - 5/2y = 25/2.

Hence, option D is the correct answer.

Learn more about linear equation here: brainly.com/question/12974594

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2 years ago

Find the quotient of 2/5 and 4/5<br> Give your answer as a fraction in its simplest form.

mixer [17]

Answer:

$\frac{1}{2}$