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2 years ago

Use the substitution method to solve the following system of equations:

Mathematics

1 answer:

horsena [70]2 years ago

5 0

Answer:

(6, - 3 )

Step-by-step explanation:

Given the 2 equations

3x + 5y = 3 → (1)

x + 2y = 0 → (2)

Rearrange (2) expressing x in terms of y by subtracting 2y from both sides

x = - 2y → (3)

Substitute x = - 2y into (1)

3(- 2y) + 5y = 3

- 6y + 5y = 3

- y = 3 ( multiply both sides by - 1 )

y = - 3

Substitute y = - 3 into (3) for corresponding value of x

x = - 2(- 3) = 6

Solution is (6, - 3 )

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Multiply or divide as indicated. x 2 • x 5

WARRIOR [948]

Hi there!

${x}^{2} \times {x}^{5} = x {}^{2 + 5} = {x}^{7}$

We can also write is out entirely.
${x}^{2} = x \times x$
${x}^{5} = x \times x \times x \times x \times x$
${x}^{2} \times {x}^{5} = \\ (x \times x ) \times (x \times x \times x \times x \times x) = \\ x \times x \times x \times x \times x \times x \times x = \\ {x}^{7}$

6 0

2 years ago

Quincy was stuck inside during an afternoon rainstorm. He spent 20 minutes reading books, 18 minutes eating lunch, 12 minutes wa

Scorpion4ik [409]

Answer:

the hell you are talking about?

Step-by-step explanation:

6 0

2 years ago

Solve for x. 8(x + 1) - 3(x + 4) = 7(2 - x) Ox=11 Ox=-11 Ox= -1 1 / Ox=11/

inna [77]

Answer:

1.5

Step-by-step explanation:

$8(x + 1) - 3(x + 4) = 7(2 - x) \\ 8 x + 8 - 3x - 12 = 14 - 7x \\ 8x - 3x + 7x = 14 - 8 + 12 \\ 12x = 18 \\ x = \frac{18}{12} \\ x = \frac{3}{2} \\ x = 1.5$

3 0

2 years ago

Read 2 more answers

Help!!! Quick!!! Plzzzzz!!!

max2010maxim [7]

Answer:

x = -8

y = 9

Step-by-step explanation:

to solve this expression using simultaneous equation, we would say let

y =9............................................. equation 1

6x + 5y =-3............................................equation 2

substitute equation 1 into equation 2

-3 = 6x + 5y............................................equation 2

6x + 5(9) = -3

6x + 45 = -3

collect the like terms

6x = -3-45

6x = -48

divide both sides by the coefficient of x which is 6

6x/6 = -48/6

x = -8

therefore y = 9

x = -8

4 0

2 years ago

Bailey's rectangular dog pen for his Irish Setter must have an area of 400 square feet. Also, the length must be 20 feet longer

Iteru [2.4K]

Hello.

400=(x+20)x is the equation or 400=x^2+20x

(x+10)=square root of 500


so x+10=10 radical 5


final answer -10 + or - 10 radical 5=x


Have a nice day

8 0

2 years ago