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2 years ago

Solve the system of linear equations using elimination. −2x − y = 3 −9x − y = 17

Mathematics

2 answers:

Gnom [1K]2 years ago

4 0

Answer: x=20/7 y=17

Step-by-step explanation:

1) Don't need to solve for y since y is already solved.

2) Solve for x:

-2x-17=-9x+3

-2x-17+9x=-9x+3+9x (Add 9x to both sides)

7x-17=3

7x-17+17=3+17 (Add 17 to both sides)

7x=20( Divide both sides by 7)

x=20/7, y=17

Nat2105 [25]2 years ago

4 0

Answer:

x=20/7 y=17

Step-by-step explanation:

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if a pitcher is full of lemonade. Which unit of liquid volume best describes the amount of lemonade in the pitcher? explain

sergij07 [2.7K]

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2 years ago

A right rectangular prism has a length of 10 centimeters, a width of 2.5 centimeters and a height of 0.9 centimeters what is the

nikdorinn [45]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{22.5 \: {cm}^{3} }}}}}$

Step-by-step explanation:

Given,

Length of a rectangular prism ( l ) = 10 cm

Width of a rectangular prism ( w ) = 2.5 cm

Height of a rectangular prism ( h ) = 0.9 cm

Volume of a rectangular prism ( V ) = ?

Finding the volume of a rectangular prism

$\boxed{ \bold{ \sf{volume \: of \: a \: rectangular \: prism = lwh}}}$

$\dashrightarrow{ \sf{volume = 10 \times 2.5 \times 0.9}}$

$\dashrightarrow{ \sf{volume = 22.5 \: {cm}^{3} }}$

Hope I helped!

Best regards! :D

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2 years ago

You have 3/4 of a pie leftover after your party. Each guest takes home 1/6 of the leftover pie.

Anika [276]

we know that

1) You have $3/4$ of a pie leftover after your party

2) Each

guest takes home $1/6$ of the leftover pie

To find the fraction of the original pie does each guest take home,

Multiply $3/4$ by $1/6$

$\frac{3}{4} *\frac{1}{6} =\frac{3}{24}$

Simplify

Divide by $3$ both numerator and denominator

$\frac{3}{24}=\frac{1}{8}$

therefore

the answer is

$\frac{1}{8}$

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2 years ago

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Out of 460 students 60% have pets how many of the students have pets

Butoxors [25]

276 is the answer because 460 times .6 = 276

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2 years ago

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A child is playing games with empty soda cups. There are three sizes: small, medium, and large. After some experimentation

anyanavicka [17]

Answer:

S is the volume of the small cup, M the volume of the medium cup and L the volume of the large cup:

2*S + 2*M + 4*L = 160oz

2*S + 6*M + 1*L = 160oz

5*S + 1*M + 3*L = 160oz.

First, we must isolate one of the variables, for this we can use the first two equations and get:

2*S + 2*M + 4*L = 160oz = 2*S + 6*M + 1*L

We can cancel 2*S in both sides:

2*M + 4*L = 6*M + 1*L

now each side must have only one variable:

4*L - 1*L = 6*M - 2*M

3*L = 4*M

L = (4/3)*M.

now we can replace it in the equations and get :

2*S + 2*M + 4*(4/3)*M = 160oz

2*S + 6*M + (4/3)*M = 160oz

5*S + 1*M + 4M = 160oz.

simplifing them we have:

2*S + (22/3)*M + = 160oz

2*S + (22/3)*M = 160oz

5*S + 5*M = 160oz.

(the first and second equation are equal because we used those to get the relation of M and L, so we now have only two equations):

2*S + (22/3)*M = 160oz

5*S + 5*M = 160oz.

We can take the second equation and simplify it:

S + M = 160oz/5 = 32oz

S = 32oz - M

Now we can replace it in the first equation and solve it for M

2*S + (22/3)*M = 2*(32oz - M) + (22/3)*M = 160oz

62oz - 2*M + (22/3)*M = 160oz

-(6/3)*M + (22/3)*M = 98oz

(18/3)*M = 98oz

M = (3/18)*98oz = 16.33 oz

Then:

L = (4/3)*M =(4/3)*16.33oz = 21.78 oz

and:

S = 32oz - M = 32oz - 16.33oz = 15.67oz

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2 years ago