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3 years ago

2x+3y=15 x+y=6 work out the values of x and y

Mathematics

2 answers:

Anna [14]3 years ago

6 0

Answer:

x=3

y=3

Step-by-step explanation:

x = 6-y

-plug in (6-y) into first equation

2(6-y)+3y = 15

12-2y+3y=15

-2y+3y = 3

y=3

x=6-3

x=3

double check:

(2*3) + (3*3) = 6 + 9 = 15

3 + 3 = 6

Sonja [21]3 years ago

4 0

Answer:

x = 3

y = 3

Step-by-step explanation:

2x + 3y = 15

x + y = 6

2x + 3y = 15

x(-3) + y(-3) = 6(-3)

2x + 3y = 15

-3x - 3y = -18

Add:

2x + 3y = 15

-3x - 3y = -18

- x = -3

x = 3

Substitute x to any of the equation:

x + y = 6

3 + y = 6

y = 6 - 3

y = 3

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A small plane is flying a banner in the shape of a rectangle. The area of the banner is 144 square feet . The width of the banne

Margarita [4]

Answer:

The answer to your question is width = 6 ft; length = 24 ft

Step-by-step explanation:

Data

Area = 144 ft²

width = w

length = l

The width is 1/4 of the length

Formula

Area = width x length = w x l

Length = 4 width l = 4w

Process

1.- Substitute length in the first equation

Area = w(4w)

Simplify

Area = 4w²

2.- Solve for w

w = $\sqrt{\frac{Area}{4}}$

Substitution

w = $\sqrt{\frac{144}{4}}$

Simplification

w = $\sqrt{36}$

Result

w = 6 ft

3.- Find l

l = 4(6)

l = 24 ft

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