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3 years ago

Solve by elimination 5x-15y=10 3x-5y=-6

1 answer:

6 0

Multiply bottom equation by -3 to add and eliminate y’s.

So...

5x-15y=10
+-9x+15y=18

You get -4x=28 so x=-7

Plug in to get y
5(-7)-15y=10
-35-15y=10
-15y=45
So y=-3

Check in other equation
3(-7)-5(-3)=
-21+15=-6

So x= -7 and y= -3

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I need help with #1 of this problem. It has writings on it because I just looked up the answer because I’m confused but I want t

belka [17]

In the figure below

1) Using the theorem of similar triangles (ΔBXY and ΔBAC),

$\frac{BX}{BA}=\frac{BY}{BC}=\frac{XY}{AC}$

Where

$\begin{gathered} BX=4 \\ BA=5 \\ BY=6 \\ BC\text{ = x} \end{gathered}$

Thus,

$\begin{gathered} \frac{4}{5}=\frac{6}{x} \\ \text{cross}-\text{multiply} \\ 4\times x=6\times5 \\ 4x=30 \\ \text{divide both sides by the coefficient of x, which is 4} \\ \text{thus,} \\ \frac{4x}{4}=\frac{30}{4} \\ x=7.5 \end{gathered}$

thus, BC = 7.5

2) BX = 9, BA = 15, BY = 15, YC = y

In the above diagram,

$\begin{gathered} BC=BY+YC \\ \Rightarrow BC=15\text{ + y} \end{gathered}$

Thus, from the theorem of similar triangles,

$\begin{gathered} \frac{BX}{BA}=\frac{BY}{BC}=\frac{XY}{AC} \\ \frac{9}{15}=\frac{15}{15+y} \end{gathered}$

solving for y, we have

$\begin{gathered} \frac{9}{15}=\frac{15}{15+y} \\ \text{cross}-\text{multiply} \\ 9(15+y)=15(15) \\ \text{open brackets} \\ 135+9y=225 \\ \text{collect like terms} \\ 9y\text{ = 225}-135 \\ 9y=90 \\ \text{divide both sides by the coefficient of y, which is 9} \\ \text{thus,} \\ \frac{9y}{9}=\frac{90}{9} \\ \Rightarrow y=10 \end{gathered}$

thus, YC = 10.

4 0

1 year ago

Pls help I give brainliest to the best!!!!!!!!!!

Neporo4naja [7]

Answer:

−2m+3

Step-by-step explanation:

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3 years ago

Read 2 more answers

Find the quotient of -32/15 divided by -4/5

lana [24]

Answer:

Step-by-step explanation:

-32/15/-4/5

-32/15*5/-4

-32*5/15*-4

-160/-60

8/3

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2 years ago

Rewrite the following equation in exponential form log3 3=1

yawa3891 [41]

Answer: (X) = y => b^y = x

use that equation to get the exponential form

Step-by-step explanation:

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3 years ago

Also scores eight points in six minutes if she continues at this rate how many points will she scored 30 minutes

Ronch [10]

Answer:

She will score 40 points in 30 minutes.

Step-by-step explanation:

30 minutes divided by 6 minutes is 5, times 8 points is 40 points.

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3 years ago