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sveta [45]
3 years ago
5

$11.13-$5.50-$6.12=$10.51; $30- $10.51

Mathematics
1 answer:
MrMuchimi3 years ago
3 0
What is the problem?? I would love to help
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Given: A, B, and C What is the value of X in the matrix equation AX + B = C?
Ksju [112]

Answer:

Option (2)

Step-by-step explanation:

Given expression is, AX + B = C

A=\begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}

B=\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix}

C=\begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}

AX + B = C

AX = C - B

C - B = \begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}-\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix} = \begin{bmatrix}-42+7 & -20+9\\ 5-4 & 4+1\end{bmatrix}

C - B = \begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}

Let  X=\begin{bmatrix}a & b\\ c & d\end{bmatrix}

AX = \begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}\times \begin{bmatrix}a & b\\ c & d\end{bmatrix}

     = \begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}

Since AX = C - B

\begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}=\begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}

Therefore, a = 1, b = 5

(-3a - 4c) = -35

3(1) + 4c = 35

3 + 4c = 35

4c = 32

c = 8

And (-3b - 4d) = -11

3(5) + 4d = 11

4d = -4

d = -1

Therefore, Option (2). X = \begin{bmatrix}1 & 5\\ 8 & -1\end{bmatrix} will be the answer.

7 0
3 years ago
Help me please and thx
Olenka [21]
Y = kx, so y/x is constant

you want y such that
y/12 = -2/-8
3 0
3 years ago
3x + 6y = 14<br>2x + 8y = 2​
solmaris [256]

Step-by-step explanation:

x=14-6y/3

substituting x=14-6y/3 into eqn 2

2(14-6y/3)+8y=2

multiplying through by 3

2(14-6y/3)×3 +8y×3=2×3

2(14-6y)+24y=6

28-12y+24y=6

28-12y=6

28-6=12y

22=12y

22/12=y

finding x

2x+8(22/12)=2

2x+44/3=2

2x=2-44/3

x=(-38/3)/2

×=-38/6

7 0
2 years ago
HELP ME WITH THIS! 1/3 a = 7/9
andreyandreev [35.5K]

Answer:

a = 2 \frac{1}{3}

Step-by-step explanation:

Given

\frac{1}{3} a = \frac{7}{9}

Multiply both sides by 9 ( the LCM of 3 and 9 ) to clear the fractions

3a = 7 ( divide both sides by 3 )

a = \frac{7}{3} = 2 \frac{1}{3}

6 0
3 years ago
Read 2 more answers
If -6x + 12 = 0 and 4y + 5 =9 <br> what is the value of x + y
slega [8]

Answer:

x=2

y=1

Step-by-step explanation:

-6x+12=0

take 12 to the other side &it becomes negated then equate

-6x=-12

the negatives cancel out each other and therefore the answer is positive

x=2

4y+5=9

take 5 over to the other side &it becomes negated

4y=9-5

4y=4

y=1

8 0
2 years ago
Read 2 more answers
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