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Travka [436]
3 years ago
10

How do I solve system of equations by substitution 3x-7y=41 x=-2y-21

Mathematics
2 answers:
Butoxors [25]3 years ago
8 0

Answer:

(-5;-8)

Step-by-step explanation:

-6y-63-7y=41

-13y=104

y=-8

x=-2*-8-21=-5

Rashid [163]3 years ago
5 0
Going off the value of x in terms of y given in the second equation, we can substitute the x in the first equation with the value -2y - 21 to give us the equation

3(-2y - 21) - 7y = 41

Distributing the 3 to the -2y and -12:

-6y - 63 -7y = 41

Combining like terms:

-13y - 63 = 41

Adding 63 to either side:

-13y = 104

And dividing both sides by -13:

y = -8

We can plug in this solution for y to the second equation to obtain a solution for x:

x = -2(-8) - 21
x = 16 - 21
x = -5

So our solution is the pair (-5, -8).
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In a circle, two chords that are equidistant from the center of the circle are always ___________? *
tatyana61 [14]

Answer:

option C.

Step-by-step explanation:

According to equidistant chords theorem, two chords of a circle are congruent if and only if they are equidistant from the center of the circle.

Congruent means they are equal in length.

Using equidistant chords theorem, we can fill the blank.

In a circle, two chords that are equidistant from the center of the circle are always equal in length.

Therefore, the correct option is C.

4 0
3 years ago
For what values of a does the equation
mihalych1998 [28]

Answer:

The value of a which equation have 2 , - \frac{7}{4}  

Step-by-step explanation:

Given expression as :

2 a - 4 x = 4 - a² × x

The equation lies in the interval ( - 8 , - 2 )

∵ equation lies in the interval , so it must satisfy the equation

So , 2 a - 4 × ( - 8 ) = 4 - a² × ( - 8 )

Or,  2 a + 32  = 4  + 8 a²

Or,    a + 16 = 2 + 4 a²

So, equation can be written as :

   4 a² - a - 14 = 0

Or, 4 a² - 8 a + 7 a - 14 = 0

Or, 4 a ( a - 2 ) + 7 ( a - 2 ) = 0

Or,      ( a - 2 ) ( 4 a + 7 ) = 0

∴    a = 2    And - \frac{7}{4}  

Hence The value of a which equation have 2 , - \frac{7}{4}  Answer

8 0
3 years ago
HELP ME FAST. I’ll give thanksss. please i’m lost
Fudgin [204]

9514 1404 393

Answer:

  24°

Step-by-step explanation:

The angle between the vertical line AB and the horizontal dashed line at A is 90°. That is, ...

  66° + ? = 90°

  ? = 90° -66° = 24°

The angle of depression is 24°.

_____

<em>Additional comment</em>

The sum of angles in the triangle is 180°, so the angle at C (the angle of elevation) is the same as the angle we just figured:

  ∠C + 90° +66° = 180°

  ∠C +66° = 90° . . . . . . . subtracting 90°; shows C is complementary to 66°

  ∠C = 90° -66° = 24°

As a rule, the angle of elevation and the angle of depression are the same.

8 0
3 years ago
SOLVING INEQUALITIES x+2y&gt;=4 y&lt;=4 x-2y&lt;= -4
Troyanec [42]

At first take the 2 to the other side and substitute to 4

8 0
4 years ago
Which ordered pair satisfies the system of equations shown below? (10 POINTS + BRAINLIEST ANSWER)
nasty-shy [4]
The answer would be D.
 you would start by choosing one of the variables to eliminate, i chose to eliminate X first. in order to eliminate X, i had to multiply the second equation by -2. X then cancelled out, and i solved for the Y the same way you would a 1 step equation. Y=-4
I then took the first original equations, plugged Y in, and solved for X. X=3.

Hope this helps!
7 0
3 years ago
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