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n200080 [17]
4 years ago
7

Solve the equation y=-5x+24 y=4x-21

Mathematics
1 answer:
ryzh [129]4 years ago
5 0

Answer:

x=5 y=-1

Step-by-step explanation:

y=-5x+24

y=4x-21

Since both equations are equal to y, we can set them equal to each other

-5x+24=4x-21

Add 5x to each side

-5x+5x+24=4x+5x-21

24 = 9x-21

Add 21 to each side

24+21 = 9x-21+21

45 = 9x

Divide by 9

45/9 = 9x/9

5 =x

Now we need to find y

y = 4x-21

y =4(5) -21

y =20-21

y =-1

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(8x + 1)° + ( 4x+11)° = 180° (linear pair )

8x +1 + 4x +11 = 180

8x + 4x + 1 + 11 = 180

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3 years ago
can someone please tell me how to do 2x=3y and 4x-3y=12 using substitution to solve the system of equations.
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Answer:

Step-by-step explanation:

you divide the two to the y, which is x=3/2y

then, you simplify the second equation to y, which is -3y= -4x+12

then, you substitute the x=3/2y into the second equation,

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165 people get free admission
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Read 2 more answers
the sum of three numbers is 128.The third number is 10 more than the first .The second number 4 times the third number. what are
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128 = a + + 4(a + 10) + (a + 10)
128 = a + 4a + 40 + a + 10
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3 years ago
An employee at a department store is stocking cell phone cases. He has a box of 80 cases. Among the 80 cases, 40 are black, 10 a
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Answer:

\sf \dfrac{203}{4108}

As a decimal = 0.05 (nearest hundredth)

Step-by-step explanation:

\sf Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ possible \ outcomes}

First pick:

\sf \implies P(pink)=\dfrac{30}{80}

As the case is NOT replaced, second pick:

\sf \implies P(pink)=\dfrac{30-1}{80-1}=\dfrac{29}{79}

As the case is NOT replaced, third pick:

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Therefore,

\sf \implies P(pink \ and \ pink \ and \ pink)=\dfrac{30}{80} \times \dfrac{29}{79} \times \dfrac{28}{78}=\dfrac{203}{4108}

Answer as a decimal = 0.05 (nearest hundredth)

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