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3 years ago

I need help you solve this by using elimination and substitution thank you

Mathematics

2 answers:

AnnZ [28]3 years ago

8 0

Answer: Just use MathPapa.

Step-by-step explanation:

Eddi Din [679]3 years ago

4 0

Answer:

See below both methods.

Step-by-step explanation:

9x + 6y = 18

-6x - 6y = -24

Elimination:

9x + 6y = 18

-6x - 6y = -24

Since 6y and -6y add to zero, add the equations to eliminate y and solve for x.

9x + 6y = 18

(+) -6x - 6y = -24

-------------------------

3x = -6

x = -2

Now we need to eliminate y and solve for x. Divide both sides of the second equation by 6 and multiply both sides of the second equation by 9 to get this new equation.

-9x - 9y = -36

Add this new equation to the first original equation to eliminate x.

9x + 6y = 18

(+) -9x - 9y = -36

-------------------------

-3y = -18

y = 6

Solution: x = -2; y = 6

Substitution:

9x + 6y = 18

-6x - 6y = -24

Divide both sides of the first equation by 3. Divide both sides of the second equation by -6.

3x + 2y = 6 (Equation 1)

x + y = 4 (Equation 2)

Solve the second equation for x.

x = 4 - y

Substitute 4 - y for x in Equation 1 and solve for y.

3(4 - y) + 2y = 6

12 - 3y + 2y = 6

-y + 12 = 6

-y = -6

y = 6

Now substitute 6 for y in equation 2 and solve for x.

x + 6 = 4

x = -2

Solution: x = -2, y = 6

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Which graph describes the relation {(5, 1), (1, –2), (0, –1), (–3, 2)}?

UNO [17]

The graph represents a relation provided R = {(5, 1), (1, –2), (0, –1), (–3, 2)}

<h3>What is an ordered double?</h3>

It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).

We have a relation:

R = {(5, 1), (1, –2), (0, –1), (–3, 2)}

We can represent it on a coordinate plane as (x, y)

After plotting on a coordinate plane we will get a graph of a relation

R = {(5, 1), (1, –2), (0, –1), (–3, 2)}

Thus, the graph represents a relation provided R = {(5, 1), (1, –2), (0, –1), (–3, 2)}

Learn more about the ordered double here:

brainly.com/question/10757890

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6 0

2 years ago

A househusband is cooking beef stew for his family in a pan that is (a) uncovered, (b) covered with a light lid, and (c) covered

raketka [301]

Answer:

Cooking will be shortest when the househusband covers the beef stew with the heavy lid.

Step-by-step explanation:

The explanation for this is that water boils at 100°C at normal atmospheric pressure & it remains at that temperature until all the water evaporates as steam; the temperature can then go higher in steam form.

So, if he leaves the pan uncovered the pressure above the beef stew will be the atmospheric pressure and the temperature of the stew will not pass the 100°C mark and the food cooks at 100°C.

If he places a light lid on top, the pressure will build up & the temperature at which water remains liquid is a bit higher, but eventually the steam will push the lid to escape thereby releasing pressure & reducing the temperature.

If he puts a heavy lid on the pan the pressure can build up the highest and the temperature of the water in the stew will stay the highest ensuring the fastest cooking.

Basically, the heavier the lid, greater the pressure in the pan. As the pressure gets greater, the saturation temperature at which water starts boiling will be higher. And higher boiling temperatures mean shorter cooking times.

8 0

3 years ago

Help anyone can help me do the question 4,I will mark brainlest.

nasty-shy [4]

Answer:

Hello,

Step-by-step explanation:

$A=(1,2)\\B=(0,-1)\\\overrightarrow{AB}=((0,-1)-(1,2)=(-1,-3)\ ||\overrightarrow{AB}||^2=1+9=10\\\overrightarrow{BC}=((3,-2)-(0,-1)=(3,-1)\ ||\overrightarrow{BC}||^2=9+1=10\\\\Triangle\ is\ isosceles.\\\\\overrightarrow{AB}.\overrightarrow{BC}=(-1,-3)*\left[\begin{array}{c}3\\-1\end{array}\right] =-3+3=0\\\\Triangle \ is\ right.\\\\$