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olya-2409 [2.1K]
1 year ago
12

Solve the simultaneous equation 2x + 3y = 7 3x + 2y = 8​

Mathematics
1 answer:
Verdich [7]1 year ago
6 0

Answer:

(2, 1 )

Step-by-step explanation:

2x + 3y = 7 → (1)

3x + 2y = 8 → (2)

multiplying (1) by 3 and (2) by - 2 and adding will eliminate x

6x + 9y = 21 → (3)

- 6x - 4y = - 16 → (4)

add (3) and (4) term by term to eliminate x

0 + 5y = 5

5y = 5 ( divide both sides by 5 )

y = 1

substitute y = 1 into either of the 2 equations and solve for x

substituting into (1)

2x + 3(1) = 7

2x + 3 = 7 ( subtract 3 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

solution is (2, 1 )

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3 years ago
Which expression is equivalent to -2 - 7 <br><br> -2 - (-7) <br> 2 - 7 <br> -2 + (-7) <br> 2+7
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Answer:

Step-by-step explanation:

-2+ (-7) = -2 - 7

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3 years ago
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Step-by-step explanation:

let the larger number be x and smaller number be y

according to this question

x=y+33----------(1)

y+33+5y=129----------(2)

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x=49

4 0
3 years ago
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During the season, the Rangers played 25 games. They won 14 of the games.
34kurt

Answer:

See below

Step-by-step explanation:

Out of 25 games, they won 14

Fraction won = won / total = 14 / 25

Percent won = won /total * 100 % = 14/25 * 100 = .56 * 100 % = 56 %

To find the number of games lost

25-14 = 11

Fraction won = won / total = 11 / 25

Percent won = won /total * 100 % = 11/25 * 100 = .44 * 100 % = 44 %

To check your work, the percent total should be 100

56+44 = 100

5 0
1 year ago
Create a graph of the combined function h(x)=f(x)+g(x) in which f(x)=x+6​
White raven [17]

Answer:

Step-by-step explanation:

You must share g(x).

Working with what you've already shared:

h(x) = f(x) + g(x)

      = x + 6 + g(x)

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