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pochemuha
3 years ago
7

HELP PLS FIRST RIGHT ANSWER BRAINLIEST

Mathematics
1 answer:
harkovskaia [24]3 years ago
8 0

okay, so.

it's a rectangle with a nub. We do the area without the nub first. so 8x16 is 128

now, its time for the nub.

6x12-8, that would be 4, so 6x4 is 24+128= 152

So it's B.

Hope i helped Mark brainliest pls

Chad :P

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Solve this system by elimination : -5x + 3z =8 x- 4y = 7 5y - 4z = -14 find the x , y and z using elimination
Mnenie [13.5K]

Answer

• x = –1

• y = –2

• z = 1

Explanation

Given the system:

\begin{gathered} -5x+3z=8\text{, equation 1} \\ 5y-4z=-14,\text{ equation 2} \\ x-4y=7,\text{ equation 3} \end{gathered}

We have to divide equation 1 over 5 and add it to equation 2:

\begin{gathered} -(5x)+0y+3z=8 \\ x-4y+0z=7 \\ 0x+5y-4z=-14 \end{gathered}\begin{gathered} \frac{-(5x)+0y+3z=8}{5} \\ x-4y+0z=7 \\ 0x+5y-4z=-14 \end{gathered}\begin{gathered} -x+0y+\frac{3}{5}z=\frac{8}{5} \\ x-4y+0z=7 \\ 0x+5y-4z=-14 \end{gathered}

Now, we have to add 1/5(equation 1) to equation 2:

\begin{gathered} -x+0y+\frac{3}{5}z=\frac{8}{5} \\ x-4y+0z=7 \\ --------- \\ 0x-4y+\frac{3}{5}z=\frac{43}{5} \end{gathered}

Next, we multiply the equation 2 obtained previously times 5:

\begin{gathered} (0x-4y+\frac{3}{5}z=\frac{43}{5})\cdot5 \\ -20y+3z=43 \end{gathered}

Then, we divide equation 2 over 4:

\begin{gathered} \frac{-20y+3z=43}{4} \\ -5y+\frac{3}{4}z=\frac{43}{4} \end{gathered}

We add it to equation 3:

\begin{gathered} -5y+\frac{3}{4}z=\frac{43}{4} \\ 5y-4z=-14 \\ ------- \\ 0y-\frac{13}{4}z=-\frac{13}{4} \end{gathered}

Then, we are left with:

\begin{equation*} -\frac{13}{4}z=-\frac{13}{4} \end{equation*}

Simplifying:

-13z=-13z=\frac{-13}{-13}=1z=1

Now that we have the value of z (z = 1), we can replace it in the modified equation 2 and solve for y:

-20y+3z=43-20y+3(1)=43-20y+3=43-20y=43-3-20y=40y=\frac{40}{-20}y=-2

Finally, calculating the value of x with any of the equations (as we already have the other two values):

x-4(-2)=7x+8=7x=7-8x=-1

5 0
2 years ago
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