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2 years ago

What is the solution to the system of linear equations? 2x + 3y = 3 3x + 5y = 5 Enter you answer into the boxes.

Mathematics

1 answer:

aleksandr82 [10.1K]2 years ago

4 0

Answer:

x = 0

y = 1

Step-by-step explanation:

2x + 3y = 3 Multiply this equation by 3

3x + 5y = 5 Multiply this equation by 2

3(2x + 3y = 3)

6x + 9y = 9

2(3x + 5y = 5 )

6x + 10y = 10 Notice the xs are the same.

6x + 9y = 9

<u>6x + 10y =10 </u> Subtract

- y = - 1 Multiply each side by -1

y = 1

2x + 3y = 3

2x + 3*1 = 3

2x = 0

x =0

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HELP ASAP ITS SO HARD! Kelsey did the following division problem. Her teacher says that the quotient she found is wrong. −2 5/6

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Part A

Her steps were

$-2 \frac{5}{6} \div 1 \frac{1}{3}\\\\-\frac{17}{6} \div \frac{4}{3}\\\\-\frac{6}{17} \times \frac{3}{4}\\\\-\frac{6\times 3}{17\times4}\\\\-\frac{18}{68}\\\\-\frac{9}{34}\\\\$

Kelsey made a mistake on line 3. Note how the 17/6 flips to 6/17. This is not correct. You keep the first fraction the same, but you do flip the second fraction. This only applies when you divide two fractions.

The third step should look like $-\frac{17}{6}\times \frac{3}{4}$

=======================================================

Part B

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