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inessss [21]
3 years ago
13

Use the substitution method to solve the system of equations. Choose the

Mathematics
2 answers:
Allisa [31]3 years ago
7 0

\bf \begin{cases} x+2y=12\\ \cline{1-1} -x=-y-6\\ \boxed{x}=y+6 \end{cases}\qquad \qquad \stackrel{\textit{doing some substitution in the 1st equation}}{\boxed{y+6}+2y=12\implies 3y+6=12} \\\\\\ 3y=6\implies y=\cfrac{6}{3}\implies \blacktriangleright y=2 \blacktriangleleft \\\\\\ \stackrel{\textit{since we know that }}{x=y+6\implies }x=(2)+6\implies \blacktriangleright x=8 \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (8,2)~\hfill

Mama L [17]3 years ago
7 0

Answer:

D. (8,2)

Step-by-step explanation:

Apex

Hope this helps Have a nice day

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Arada [10]
M/_b = 90-55=35°......
5 0
3 years ago
Solve (x + 2 < 5) ∩ (x - 7 > -6).
mihalych1998 [28]

Answer:

<h2>1. {x | 1 < x < 3}</h2>

Step-by-step explanation:

x + 2 < 5           <em>subtract 2 from both sides</em>

x + 2 - 2 < 5 - 2

x < 3

x - 7 > -6        <em>add 7 to both sides</em>

x > 1

From x < 3 and x > 1 we have 1 < x < 3

7 0
3 years ago
When Sam gave Clarissa 105 chocolates, Clarissa had 5 times as many chocolates as Sam. They had 504 chocolates altogether. How m
IgorLugansk [536]

Answer:

315 chocolate

Step-by-step explanation:

Let Sam's chocolate be S

Let Clariss's chocolate be C

When Sam gave Clarissa 105 chocolates, Clarissa had 5 times as many chocolates as Sam.

This can be written as:

C = 5S

The sum of their chocolate is 504 i.e

S + C = 504

Now, let us determine the chocolate of Clarissa after receiving 105 chocolate from Sam. This can be obtained as follow:

S + C = 504

But: C = 5S

S + 5S = 504

6S = 504

Divide both side by 6

S = 504/6

S = 84.

C = 5S = 5 x 84 = 420

Therefore, Clarissa have 420 chocolate after receiving 105 chocolate from Sam.

Now, to know the amount of chocolate that Clarissa has at first, we simply subtract 105 from the present amount that Clarissa have. This is illustrated below:

Amount of chocolate that Clarissa has a first = 420 – 105 = 315

Therefore, Clarissa had 315 chocolate at first.

3 0
3 years ago
Can someone help me!
Ganezh [65]
Looks to Be answer A have a great day!
4 0
3 years ago
Read 2 more answers
The length of a rectangle is twice its width.<br> The perimeter of the rectangle is 126 feet.
seraphim [82]

Answer: Length = 42ft Width = 21ft

Step-by-step explanation:

Let "w" be width

W = 21ft

w x 2 = L

L = 42ft

Perimeter:

42+42+21+21

=126

8 0
3 years ago
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