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3 years ago

Which one is it........

Mathematics

1 answer:

ruslelena [56]3 years ago

3 0

$\begin{cases}4(x+y)=2x+12\\4x+y=x+8\end{cases}\\\\\\
\begin{cases}4x+4y=2x+12\quad|-2x\\4x+y=x+8\quad|-x\end{cases}\\\\\\
\begin{cases}4x+4y-2x=12\\4x+y-x=8\end{cases}\\\\\\
\boxed{\begin{cases}2x+4y=12\\3x+y=8\end{cases}}$

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3 years ago

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3 years ago

Find the solution to the system of linear equations y = 5x + 4 and y = −3x + 12 using the intersection method. Check your answer

Umnica [9.8K]

Answer:

The solution to the system of linear equations is (1,9).

Step-by-step explanation:

The given system of linear equations

$y=5x+4$ ... (1)

$y=-3x+12$ .... (2)

Subtract equation (2) from equation (1) to eliminate y.

$y-y=(5x+4)-(-3x+12)$

$0=5x+4+3x-12$

On combining like terms, we get

$0=(5x+3x)+(4-12)$

$0=8x-8$

Add 8 on both sides.

$0+8=8x-8+8$

$8=8x$

Divide both sides by 8.

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The value of x is 1.

Substitute x=1 in equation (1).

$y=5(1)+4$

$y=5+4$

$y=9$

The value of y is 9.

Therefore the solution to the system of linear equations is (1,9).

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3 years ago

How many times smaller is the surface area of a cube if the side length is multiplied 1/2

Tju [1.3M]

Answer:

1/4, or 4 times smaller

Step-by-step explanation:

Since the surface area of a cube is just the combination of the area of all of the square sides, and the formula for those is s^2, if the side length was decreased by 1/2 then the surface area would decrease by (1/2)^2=1/4. Hope this helps!

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2 years ago