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3 years ago

Which equation has solution x = -3?

Mathematics

2 answers:

gtnhenbr [62]3 years ago

4 0

The answer is C

for X=-3

wel3 years ago

3 0

The answer is C.
X= -3

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-2(3y - 6) + 4(5y - 8) = 92

Whitepunk [10]

Answer:

y = 8

Step-by-step explanation:

$-2(3y - 6) + 4(5y - 8) = 92\\\\\mathrm{Expand\:}-2\left(3y-6\right)+4\left(5y-8\right):\quad 14y-20\\14y-20=92\\\\\mathrm{Add\:}20\mathrm{\:to\:both\:sides}\\14y-20+20=92+20\\\\Simplify\\14y=112\\\\\mathrm{Divide\:both\:sides\:by\:}14\\\frac{14y}{14}=\frac{112}{14}\\\\Simplify\\y= 8$

3 0

3 years ago

Read 2 more answers

I WILL MARK YOU THE HIGHEST IF RIGHT!!!! NEED HELP ASAP (CANT GET THIS ONE RIGHT.

vitfil [10]

The correct answer is: [A]: " 2" .
_______________________________________________________
Explanation:
_______________________________________________________

5x - 4 = 3x ;

Subtract "3x" from each side of the equation;

5x - 4 - 3x = 3x - 3x ;

2x - 4 = 0 ;

Add "4" to each side of the equation;

2x - 4 + 4 = 0 + 4 ;

2x = 4 ;

Divide each side of the equation by "2" :

2x / 2 = 4 / 2 ;

x = 2 ; which is: "Answer choice: [A]: " 2" .
____________________________________________________

3 0

3 years ago

-0.8b^2+7.4b+(5.6b-0.2b^2)

puteri [66]

Answer:

what? I don't understand lol

5 0

3 years ago

What is the mean of the data 25, 27, 24, 26, 40 and what is the median

krok68 [10]

Answer:

mean is = 28.4

median is = 26

Step-by-step explanation:

mean- average

( 25+ 27+ 24+ 26+ 40 )/5 = 28.4

median- middle

25, 27, 24, 26, 40

{ rearrange }

24, 25, 26, 27, 40

the middle number is 26

6 0

3 years ago

Create a matrix for this system of linear equations, The determinant of the coefficient matrix is

marin [14]

Answer: The determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.

Step-by-step explanation: The given system of linear equations is :

$2x+y+3z=13~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\x+2y=11~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)\\\\3x+z=10~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)$

We are given to find the determinant of the coefficient matrix and to find the values of x, y and z.

The determinant of the co-efficient matrix is given by

$D=\begin{vmatrix}2 & 1 & 3\\ 1 & 2 & 0\\ 3 & 0 & 1\end{vmatrix}=2(2-0)+1(0-1)+3(0-6)=4-1-18=-15.$

Now, from equations (ii) and (iii), we have

$x+2y=11~~~~~\Rightarrow y=\dfrac{11-x}{2}~~~~~~~~~~~~~~~~~~~~~~~~~~(iv)\\\\\\3x+z=10~~~~~~\Rightarrow z=10-3x~~~~~~~~~~~~~~~~~~~~~~~~~(v)$

Substituting the value of y and z from equations (iv) and (v) in equation (i), we get

$2x+y+3z=13\\\\\Rightarrow 2x+\dfrac{11-x}{2}+3(10-3x)=13\\\\\Rightarrow 4x+11-x+60-18x=26\\\\\Rightarrow -15x+71=26\\\\\Rightarrow -15x=26-71\\\\\Rightarrow -15x=-45\\\\\Rightarrow x=3.$

From equations (iv) and (v), we get

$y=\dfrac{11-3}{2}=4,\\\\z=10-3\times3=1.$

Thus, the determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.

3 0

3 years ago