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2 years ago

Use the elimination method to solve the system of equations. Choose the correct ordered pair.

Mathematics

2 answers:

maksim [4K]2 years ago

8 0

C (2,1) it is this add both equations it will give you this

algol132 years ago

6 0

4x + 8y = 16
4x - 8y = 0
-----------------add
8x = 16
x = 16/8
x = 2

4x + 8y = 16
4(2) + 8y = 16
8 + 8y = 16
8y = 16 - 8
8y = 8
y = 8/8
y = 1

solution is (2,1)

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The drawn in the attached figure

see the explanation

Step-by-step explanation:

<em>First case</em>

In the triangle ABC

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Applying the law of sines

Find the measure of angle A

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$\frac{c}{sin(C)}=\frac{b}{sin(B)}$

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therefore

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<em>Second case</em>

In the triangle ABC

Let

$a=4\ units\\b=2/ units\\A=30^o$

Applying the law of sines

Find the measure of angle B

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

substitute the given values

$\frac{4}{sin(30^o)}=\frac{2}{sin(B)}$

$sin(B)=0.25$

using a calculator

$B=14.48^o$

Find the measure of angle C

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

$A+B+C=180^o$

$A=30^o\\B=14.48^o$

therefore

$30^o+14.48^o+C=180^o$

$C=135.52^o$

Find the length side c

Applying the law of sines

$\frac{c}{sin(C)}=\frac{a}{sin(A)}$

substitute the given values

$\frac{c}{sin(135.52^o)}=\frac{4}{sin(30^o)}$

$c=5.61\ units$

therefore

The dimensions of the triangle are

$A=30^o$

$B=14.48^o$

$C=135.52^o$

$a=4\ units\\b=2\ units\\c=5.61\ units$

see the attached figure to better understand the problem

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