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grandymaker [24]
3 years ago
13

Please help me Using substitution method solve :

Mathematics
1 answer:
Romashka [77]3 years ago
6 0

Answer:

(1, - 2 )

Step-by-step explanation:

Given the equations

9x + 2y = 5 ( subtract 9x from both sides )

2y = 5 - 9x ( divide terms by 2 )

y = 2.5 - 4.5x → (1)

7x - 3y = 13 → (2)

Substitute y = 2.5 - 4.5x into (2)

7x - 3(2.5 - 4.5x) = 13

7x - 7.5 + 13.5 = 13 , that is

7x + 6 = 13 ( subtract 6 from both sides )

7x = 7 ( divide both sides by 7 )

x = 1

Substitute x = 1 into (1) and evaluate for y

y = 2.5 - 4.5(1) = 2.5 - 4.5 = - 2

solution is (1, - 2 )

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Select the correct answer.
eimsori [14]

Answer:

A. x=3, y= -6

Step-by-step explanation:

x - 2y = 15

2x + 4y= -18

<em>Solving for x</em>

x-2y=15

<em>Subtract x from both sides</em>

-2y= -x+15

<em>Multiply both sides by -1</em>

2y=x-15

<em>Multiply both sides by 2</em>

4y=2x-30

2x+4y= -18

<em>Subtract 2x from both sides</em>

4y= -2x-18

<u>Combine equations:</u>

-2x-18=2x-30

<em>Add 2x to both sides</em>

-18=4x-30

<em>Add 30 to both sides</em>

12=4x

4x=12

<em>Divide both sides by 4</em>

x=3

Solving for y

x-2y=15

<em>Add 2y to both sides</em>

x=2y+15

<em>Multiply both sides by 2</em>

2x=4y+30

2x + 4y= -18

<em>Subtract 4y from both sides</em>

2x= -4y-18

<u>Combine equations:</u>

-4y-18=4y+30

<em>Add 4y to both sides</em>

-18=8y+30

<em>Subtract 30 from both sides</em>

8y= -48

<em>Divide both sides by 8</em>

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8 0
3 years ago
Evaluate the following expression. 6^-3
zysi [14]

Answer: 0.00462962962...

Step-by-step explanation:

8 0
3 years ago
Find the volume of a right circular cone that has a height of 9.5 m and a base with a circumference of 10 m
Nana76 [90]
Idk bro tbh ima keep it real you should drop out
5 0
3 years ago
Find the following products:
Daniel [21]

Answer:

a)32.86x10=328.6

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Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
A grocery store offers a cheese sampler that includes a pepper cheddar cheese that costs $15 per kilogram and Pennsylvania Jack
lawyer [7]

Answer: The quantity of pepper cheddar cheese required = 2.5 kilograms

The quantity of Pennsylvania Jack required = 4.5 kilograms

Step-by-step explanation:

Let x = Quantity of pepper cheddar cheese

y=  Quantity of Pennsylvania Jack

As per given , we have the following system of equations:

x+y=7----------(1)\\\\ 15x+8y= 7\times10.50\\\\ 15x+8y=73.5------------(2)

Multiply 8 to equation(1) , we get

8x+8y=56---------(3)

Eliminate (3) from (2) , we get

7x=17.5\\\\ x=\dfrac{17.5}{7}=2.5

Put value of x in (1) , we get

2.5+y=7\\\\ y=7-2.5=4.5

Hence, the quantity of pepper cheddar cheese required = 2.5 kilograms

The quantity of Pennsylvania Jack required = 4.5 kilograms

3 0
3 years ago
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