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3 years ago

3/4 (x-12)=12 And 3/4y-12=12

Mathematics

2 answers:

lianna [129]3 years ago

5 0

3/4 (x-12)=12
3/4x - 9= 12
+9 +9
3/4x=21
*3/4 *3/4
x= 15 3/4

and

3/4y-12=12
+12 +12
3/4y = 24
*3/4 *3/4
y= 18

Ket [755]3 years ago

4 0

Oops. I did it wrong. delete.

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Sliva [168]

Answer:

Options A and C are correct choices.

Step-by-step explanation:

We have been given an expression $4d+6+2d$ and we are asked to choose all the equivalent expressions from given choices.

Let us simplify our given expression.

$4d+6+2d=(4d+2d)+6$

$4d+6+2d=6d+6$

Let us see which of our given choices matches with our answer.

A. $2(3d+3)$

Upon using distributive property $a(b+c)=a*b+a*c$ we will get,

$2*3d+2*3$

$6d+6$

Therefore, option A is a correct choice.

B. $6(d+6)$

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$6*d+6*6$

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Since this expression is not equivalent to our answer, therefore, option B is not a correct choice.

C. $(3d+3)+(3d+3)$

Upon removing parenthesis we will get,

$3d+3+3d+3$

Upon combining like terms we will get,

$(3d+3d)+(3+3)$

$6d+6$

Therefore, option C is the correct choice.

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Step-by-step explanation:

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Read 2 more answers

-x=-y+2 and 3y+4=2x solve using matrices

MissTica

$\begin{cases}-x=-y+2\\3y+4=2x\end{cases}\implies\begin{cases}x-y=-2\\2x-3y=4\end{cases}$

In matrix form, this is

$\begin{bmatrix}1&-1\\2&-3\end{bmatrix}\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}-2\\4\end{bmatrix}$

The coefficient matrix has determinant

$\begin{vmatrix}1&-1\\2&-3\end{vmatrix}=-3+2=-1\neq0$

so it has an inverse, which is

$\begin{bmatrix}1&-1\\2&-3\end{bmatrix}^{-1}=\begin{bmatrix}3&-1\\2&-1\end{bmatrix}$

Multiply both sides by the inverse matrix:

$\begin{bmatrix}3&-1\\2&-1\end{bmatrix}\begin{bmatrix}1&-1\\2&-3\end{bmatrix}\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}3&-1\\2&-1\end{bmatrix}\begin{bmatrix}-2\\4\end{bmatrix}$

$\implies\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}-10\\-8\end{bmatrix}$

so that $x=-10$ and $y=-8$ .

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