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Firlakuza [10]
3 years ago
7

\begin{aligned} &-5y=-5 \\\\ &7x+6y=7 \end{aligned}

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
7 0

Answer:

(5,1) is not a solution of the above system of equations.

Step-by-step explanation:

We are given a system of equations that are  

- 5y = - 5 ......... (1) and  

7x + 6y = 7 ........... (2)

So, solving equation (1) we get y = 1 and putting y = 1 in the equation (2) we get 7x = 7 - 6(1) = 1

⇒ x = \frac{1}{7}

So, it clear from the solution of the above equations i.e. (\frac{1}{7}, 1), we can say that (5,1) is not a solution of the above system of equations. (Answer)

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Find measure of angle if it is 20 more than 4 times its supplement
xenn [34]

Hello!

Supplementary angles add up to 180. This gives us the system of equations below.

a+b=180

b= 4a+20

Now we plug our b value into the first equation and solve for a.

a+4a+20=180

We combine like terms.

5a+20=180

We subtract 20 from both sides.

5a=160

We divide both sides by 5.

a=32

Now we want to find our angle b. We can plug our a value into the equation.

b=4(32)+20

128+20=148

Therefore, our angle measure is 148°.

I hope this helps!


7 0
3 years ago
2(2w - 6) + 2(w) = 3(w + 8)
borishaifa [10]

Answer:

w=12

Step-by-step explanation:

4w-12+2w-3w-24=0

3w-36=0

3w=36

w=12

3 0
3 years ago
Two numbers have a difference of 17 and a sum of 23 which system of equations can be used to determine x and y the two numbers?
olga nikolaevna [1]

Answer:

d

Step-by-step explanation:

5 0
3 years ago
A recipe uses 100 g of flour, 100 g of sugar and 80 g of butter.
Maslowich

Answer:

600 butter : 2000 flour : 200 sugar : 400 currants = 72 cakes

120 cakes could be made with 1 kg of butter

Step-by-step explanation:

Here, 72 cakes = 6 dozen cakes

( since 12 cake = 1 dozen cake ).

a. First calculate quantity of each ingredient per dozen by dividing each by 1.5 (18/12).

• Butter - 150/1.5 = 100 g per dozen

For 6 dozen :

100g x 6 = 600 g

• Flour - 500/1.5 = 333.33 g per dozen

For 6 dozen :

333.33 g x 6 = 2000 g

• Sugar - 50/1.5 = 33.33 g per dozen

For 6 dozen :

33.33 x 6 = 200 g

• Currants - 100/1.5 = 66.67 g per dozen

For 6 dozen :

66.67 x 6 = 400 g

b. It is given that,

150g butter is required to make = 18 cakes

Then by using unitary method, we get,

1 g of butter is required to make = 18/150 cakes

Since, 1 Kg = 1000 g

Then,

1000 g of butter is required to make = (18/150) × 1000

= 120 cakes

Hence, with 1 kg of butter 120 whole cakes can be made.

Hope this answer helps you :)

Have a great day :)

Mark brainliest

4 0
3 years ago
Read 2 more answers
Six students share 8 granola bars equally. How many granola bars does each student get?
solniwko [45]

Answer:

1 whole one and a third of one.

Step-by-step explanation:

1 1/3 of a granola bar

6 0
3 years ago
Read 2 more answers
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