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Answer:

-5x+y=5

or,-5x=5-y

or,x=5-y+5

or,x=10+y......................as eqn (i)

Agn

or3x-6y=24..................as (ii)

putting the value of x in eqn ii

or 3(10+y)-6y=24

or 30+3y=24

or 30-24 =3y

or 6=3y

or y=6/3

or y=2

putting the value of y in eqn i

or x=10+y

or x=10+2

or x=12.

Answer:

y = -5; x = -2

Step-by-step explanation:

[tex]\left \{ {{-5x+y=5} \atop 3x-6y = 24}} \right.\\=> \left \{ {{y=5+5x} \atop {3x-6y=24}} \right. \\<=>\left \{ {{y=5+5x} \atop {3x-6(5+5x)=24}} \right. \\<=>\left \{ {{y=5+5x} \atop {3x-30x-30=24}} \right. \\<=>\left \{ {{y=5+5x} \atop {-27x=24+30=54}} \right. \\<=>\left \{ {{y=5+5x} \atop {x=54:(-27)=-2}} \right. \\<=>\left \{ {{y=5.(-2)+5} \atop {x=-2}} \right. \\<=>\left \{ {{y=-10+5=-5} \atop {x=-2}} \right. \\<=>\left \{ {{y=-5} \atop {x=-2}} \right.[/tex]

Answer:

alternate interior angles and x = -6

Step-by-step explanation:

they should equal each other, so 75 = x+ 81

75-81 = -6

Answer:

x=4

Step-by-step explanation:

–3(3x –2) = –30

Divide each side by -3

–3(3x –2)/-3 = –30/-3

3x –2 = 10

Add 2 to each side

3x –2+2 = 10+2

3x = 12

Divide each side by 3

3x/3 = 12/3

x = 4

Answer:

X = 4

Step-by-step explanation:

1: Distribute

-3 (3x - 2) = -30 (Multiply 3x and -2 by -3)

-9x + 6 = -30

2: Combine Like Terms

-9x + 6 = -30 (Subtract 6 from -30)

-9x = -36

3: Divide

-9x = -36 (Divide -36 by -9 to get x by itself)

x = -36 / -9

4: Solve

x = -36 / -9

X = 4

Answer:

The amount invested on 5.6% interest = $80488

The amount invested on 9.7% interest = $69512

Step-by-step explanation:

Given that total amount of investment = $150,000

Let the amount invested on 5.6% interest = $[tex]x[/tex]

Now, amount invested on 9.7% interest = $(150000-[tex]x[/tex])

Total interest to be earned = 7.5%

Formula to be used:

[tex]Simple\ Interest = \dfrac{P\times r\times t}{100}[/tex]

Where, [tex]P[/tex] is the amount invested

[tex]r[/tex] is the rate of interest

[tex]t[/tex] is the time for which amount is invested.

As per question statement:

[tex]\dfrac{x\times 5.6}{100}+\dfrac{(150000-x)\times 9.7}{100}=\dfrac{150000\times 7.5}{100}\\\Rightarrow 5.6x-9.7x=150000(7.5-9.7)\\\Rightarrow 4.1x=150000\times 2.2\\\Rightarrow x = \dfrac{330000}{4.1}\\\Rightarrow x \approx \bold{\$80488}[/tex]

The amount invested on 5.6% interest = $80488

The amount invested on 9.7% interest = $150000 - $80488 = $69512

Answer:

30 of the 15 cent stamps and 50 of the 25 cent stamps

Step-by-step explanation:

Create a system of equations, where x is the number of 15 cent stamps and y is the number of 25 cent stamps:

x + y = 80

0.15x + 0.25y = 17

Solve by substitution by rearranging the first equation:

x + y = 80

x = 80 - y

Substitute 80 - y as x into the second equation:

0.15x + 0.25y = 17

0.15(80 - y) + 0.25y = 17

12 - 0.15y + 0.25y = 17

12 + 0.1y = 17

Solve for y:

0.1y = 5

y = 50

Plug in 50 as y into the first equation, and solve for x:

x + y = 80

x + 50 = 80

x = 30

So, you bought 30 of the 15 cent stamps and 50 of the 25 cent stamps

answer: ten 15¢ stamps and forty 20¢ stamps.

Step-by-step explanation:

because i just took the quiz

Answer:

point b

Step-by-step explanation:

[tex] \frac{3}{2} = 1.5[/tex]

Answer:

B

Step-by-step explanation:

It is actually pretty simple if you know what to do.

First you simplify 3/2. That will get you 1 1/2

If you look closley you can see that B is in the 1 1/2 place.

Thats it!

Hope this helped! :)

Answer:

y = (2/3)x

Step-by-step explanation:

Note that (0, 0) and (3, 2) are both points on this line.  The change in y as we go from  (0, 0) to (3, 2) is +2 and the change in x is +3.  

The slope of this line is this m = rise/run = 2/3

and so the desired equation is y = (2/3)x

Answer:

13

Step-by-step explanation:

Answer:

Step-by-step explanation:

Discount is:

Discount % is:

Applying same discount to pair of shoes for $110:

Answer: