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MissTica
4 years ago
15

2x-y=4 and 7x+3y=27 step by step

Mathematics
1 answer:
aalyn [17]4 years ago
4 0

Answer:

x=3  y=2

Step-by-step explanation:

2x-y=4

7x+3y=27

Multiply the first equation by 3

3(2x-y)=4*3

6x - 3y+12

Add this to the second equation to eliminate y

6x -3y = 12

7x+3y=27

---------------------

13x +0y = 39

Divide each side by 13

13x/13 = 39/13

x = 3

Now find y

2x-y =4

2(3) -y = 4

6-y=4

Subtract 6 from each side

6-y-6 = 4-6

-y = -2

y=2

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Please help! i cant solve it​
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a ≈ 5.2, B ≈ 50°, C ≈ 95°

Solution:

Given data:

A = 35°, b = 7, c = 9

Using cosine law,

a^{2}=b^{2}+c^{2}-2 b c \cos A

a^{2}=7^{2}+9^{2}-2 (7)(9) \cos 35^\circ

a^{2}=49+81-126 (0.82)

a^{2}=26.68

Taking square root on both sides.

a ≈ 5.2

Using sine law,

$\frac{\sin A}{a} =\frac{\sin B}{b}

$\frac{\sin 35^\circ}{5.2} =\frac{\sin B}{7}

Multiply by 7 on both sides.

$\frac{0.5735}{5.2}\times 7 =\sin B

Switch the sides.

Sin B = 0.772

B=\sin^{-1}0.772

B ≈ 50°

Sum of all the angles of a triangle = 180°

A + B + C = 180°

35° + 50° + C = 180°

85° + C = 180°

C = 180° - 85°

C = 95°

Hence a ≈ 5.2, B ≈ 50°, C ≈ 95°.

4 0
3 years ago
Multiply (x-3(4x+2) using the distributive property.
lilavasa [31]

D. (X-3)(4x)+(x-3)(2)

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4 years ago
Read 2 more answers
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