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Olegator [25]
4 years ago
7

Solve the following system of equations by substitution and select the correct answer below: 4x − 6y = 28 8x − 4y = 24

Mathematics
2 answers:
Zarrin [17]4 years ago
8 0
According to my calculation it should be C: x=  1 and y = - 4
NOTE: I had it right on my online class.
Damm [24]4 years ago
4 0

Answer:

the solution is the point (1,-4)

Step-by-step explanation:

we have

4x-6y=28

isolate the variable x

4x=28+6y

x=7+1.5y -----> equation A

8x-4y=24 -----> equation B

substitute the equation A in equation B

8(7+1.5y)-4y=24

56+12y-4y=24

12y-4y=24-56

8y=-32

y=-4

Find the value of x

x=7+1.5(-4)=1

the solution is the point (1,-4)

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Please help, solve for x and n
Vlada [557]

Answer:

1. \boxed{ \bold{ \huge{ \boxed{ \sf{x = 1}}}}}

2. \boxed{ \bold{ \huge{ \boxed{ \sf{n =  - 5}}}}}

Step-by-step explanation:

1. \sf{ \frac{6}{x + 1}  =  \frac{3}{x} }

Do cross multiplication

\dashrightarrow{ \sf{6x = 3(x + 1)}}

Distribute 3 through the parentheses

\dashrightarrow{ \sf{6x = 3x + 3}}

Move 3x to left hand side and change it's sign

\dashrightarrow{ \sf{6x - 3x = 3}}

Collect like terms

\dashrightarrow{ \sf{3x = 3}}

Divide both sides by 3

\dashrightarrow{ \sf{ \frac{3x}{3}  =  \frac{3}{3} }}

Calculate

\dashrightarrow{ \sf{x = 1}}

The value of x is 1

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

2. \sf{ \frac{2}{6}  =  \frac{2n + 8}{n - 1}}

Do cross multiplication

\dashrightarrow{ \sf{2(n - 1) = 6(2n + 8)}}

Distribute 2 through the parentheses

Similarly, distribute 6 through the parentheses

\dashrightarrow{ \sf{2n - 2 = 12n + 48}}

Move 12n to left hand side and change it's sign

Similarly, move 48 to right hand side and change it's sign

\dashrightarrow{ \sf{2n - 12n = 48 + 2}}

Collect like terms

\dashrightarrow{ \sf{ - 10n = 48 + 2}}

Add the numbers : 48 and 2

\dashrightarrow{ \sf{ - 10n = 50}}

Divide both sides by -10

\dashrightarrow{ \sf{ \frac{ - 10n}{ - 10}  =  \frac{50}{ - 10} }}

Calculate

\dashrightarrow{ \sf{n =  - 5}}

The value of n is -5 .

Hope I helped!

Best regards! :D

7 0
3 years ago
Can someone please explain how you'd do this step by step I have no idea what's happening ​
Lilit [14]

Answer:

First split the fraction.

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2(t^0.5) + 3(t^-0.5)

Add 1 to the power, divide by the new power

2(t^1.5)/1.5 + 3(t^0.5)/0.5

4t^(3/2)/3 + 6t^(1/2) + c

4t×sqrt(t)/3 + 6sqrt(t) + c

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Answer:

Step-by-step explanation:

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