Solve x-3y=-6 and 2x-y=3 using equal value method

Mathematics

1 answer:

Cerrena [4.2K]4 years ago

7 0

Answer:

x = 3

y = 3

Step-by-step explanation:

To solve x - 3y = -6 and 2x - y = 3 using equal value method, express othe same variable from each equation.

1st equation:

$x=3y-6$

2nd equation:

$2x=y+3\\ \\x=\dfrac{1}{2}(y+3)$

Equate the right sides of these expressions:

$3y-6=\dfrac{1}{2}(y+3)$

Multiply by 2:

$6y-12=y+3\\ \\6y-y=3+12\\ \\5y=15\\ \\y=\dfrac{15}{5}\\ \\y=3$

Substitute it into the first expression:

$x=3\cdot 3-6\\ \\x=9-6\\ \\x=3$

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A spinner has 4 equally sized sectors that are numbered 1, 2, 2 and 6. The spinner is spun twice and the product of the outcomes

Elena-2011 [213]

First thing, there is a typo in all your answers: there is no way you can get 14 as a product of the numbers of the spinner's sectors, but rather 36.

After this premise, the correct answer is A) If the product of the spins is 2, pale lilac will be used. If the product is 4, mellow sage will be used. If the product is 12, seafoam blue will be used. If the product is 1, 6 or 36, totally taupe will be used.

Explanation:

You have a spinner with 4 sectors that is spinned twice. Therefore, the possible outcomes are 4 × 4 = 16 pairs of numbers:
(1, 1) (1, 2) (1, 2) (1, 6)
(2, 1) (2, 2) (2, 2) (2, 6)
(2, 1) (2, 2) (2, 2) (2, 6)
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The possible products are then,
1 2 2 6
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6 12 12 36

Hence, we have:
1 possible product of 1;
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2 possible product of 6;
4 possible products of 12;
1 possible product of 36.

Since the paint colors are 4, to make a fair decision, each color should be matched with 16 ÷ 4 = 4 total possible outcomes: the products 2, 4 and 12 each have 4 possible outcomes, the products 1, 6 and 36 together have 4 possible outcomes.

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3 0

3 years ago

Read 2 more answers

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fredd [130]

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