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3 years ago

What is the solution of the following system -2x-y=1 -4x-2y=-1

Mathematics

2 answers:

motikmotik3 years ago

8 0

-2x - y = 1 (1st)

-4x - 2y = -1 (2nd)

Multiply 1st equation by 2

-4x - 2y = 2

Now you have 2 new equations

-4x - 2y = 2

-4x - 2y = -1

----------------------Subtract

0 ≠ 3

Answer: No solutions

andreev551 [17]3 years ago

7 0

Answer: The correct option is

(B) no solution.

Step-by-step explanation: We are given to find the solution to the following system of equations :

$-2x-y=1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\-4x-2y=-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

From equation (i), we have

$-2x-y=1\\\\\Rightarrow y=-2x-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)$

Substituting the value of y from equation (iii) in equation (ii), we get

$-4x-2(-2x-1)=-1\\\\\Rightarrow -4x+4x+2=-1\\\\\Rightarrow 2=-1,$

which can never be possible.

Therefore, the given system of equations has no solution.

Option (B) is CORRECT.

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True or false -if the measure of an acute angle is x then its completely angle is (90 - x)

Firdavs [7]

Answer:

False

Step-by-step explanation:

The measure of an acute angle is less than 90°

5 0

2 years ago

Write the set of points greater than or equal to −5−5 but strictly less than 44, excluding 00, as a union of two intervals (if y

Alecsey [184]

What we want to draw is the half closed interval:

I= [-5, 4) excluding 0,

as the union of 2 different intervals say a and b.

Let a be the interval containing the smallest value.

Then the smallest value of a is -5, and the largest possible value of a is 0, not included, if we want to write a as an interval, without "gaps", or "holes".

So a=[-5, 0)

similarly, b=(0, 4).

Answer: [-5, 4)=[-5, 0)∪(0, 4)

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4 years ago

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nignag [31]

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Suppose the dog is on the top vertex of the triangle while the cat is the rightmost corner of the triangle. The angle denoted as x° is the angle of depression. To determine this, we use the tangent function. The tangent of an angle is the ratio of its opposite side to its adjacent side.

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8 0

3 years ago

What is the simplified form of (12-4t)/(t^2-2t-3)? State any excluded values

nexus9112 [7]

Answer:

<em>Solution; - 4 / t + 1</em>

Step-by-step explanation:

See procedure below;

( 12 - 4t ) / ( t^2 - 2t - 3 ) ⇒ Factor out common term - 4 in 12 - 4t,

- 4 * ( t - 3 ) / ( t^2 - 2t - 3 ) ⇒ Break bottom expression into groups,

- 4 * ( t - 3 ) / ( t^2 + t ) + ( - 3t - 3 ) ⇒ Factor out t from t^2 + t,

- 4 * ( t - 3 ) / t * ( t + 1 ) + ( - 3t - 3 ) ⇒ Factor out - 3 from - 3t - 3,

- 4 * ( t - 3 ) / t * ( t + 1 ) + ( - 3 * ( t + 1 ) ) ⇒ Factor out common term t + 1,

- 4 * ( t - 3 ) / ( t + 1 ) * ( t - 3 ) ⇒ Cancel out like term t - 3,

<em>Solution; - 4 / t + 1</em>

3 0

3 years ago

Could someone explain a). There is an attachment

Anna [14]

All of these angles can be compared to each other.

There are:

- Alternate interior angles

-- Angles that share one line and two parallel lines and are less than 90 degrees (angles 10, 12). These angles are equal to each other.

- Alternate exterior angles

-- Angles that share one line and two parallel lines and are more than 90 degrees (angles 1,5) These angles are equal to each other.

- Vertical Angle

-- Angles that share a point and are opposite of that point (angles 2,3) These angles are equal to each other.

-Supplementary angles

-- Angles that are on the same side of one line and share the side of another (angles 9,10). These angles are always equal to 180 degrees.

Using this we know:

a. m of angle 5 = to the m of angle 3 = 102

m of angle 5 = 102 degrees

3 0

3 years ago