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liubo4ka [24]
3 years ago
12

For the following system, use the second equation to make a substitution for y in the first equation. 3x + y = 1 y + 4 = 5x What

is the resulting equation? 1. 3x + 5x - 4 = 1 2. 3x + 4 - 5x = 1 3. 3x + 5x + 4 = 1
Mathematics
1 answer:
Debora [2.8K]3 years ago
7 0

Answer:

The answer is A.

Step-by-step explanation:

So we have the two equations:

3x+y=1\\y+4=5x

To make a substitution of the second equation into the first equation, we need to isolate the <em>y </em>variable in the second equation. Thus:

y+4=5x\\y=5x-4

Now, we can substitute this into the first equation. Therefore:

3x+y=1\\3x+(5x-4)=1\\3x+5x-4=1

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3 years ago
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4 0
1 year ago
Show so that the expression of cos4A in term of SinA is 8Sin^4 - 8Sin^2A + 1​
Degger [83]

Answer:

Step-by-step explanation:

L

H

S

=

cos

4

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cos

2

(

2

x

)

−

1

=

2

(

cos

(

2

x

)

)

2

−

1

=

2

(

2

cos

2

x

−

1

)

2

−

1

=

2

(

4

cos

4

x

−

4

cos

2

x

+

1

)

−

1

=

8

cos

4

x

−

8

cos

2

x

+

2

−

1

=

8

cos

4

x

−

8

cos

2

x

+

1

=

R

H

S

Again

L

H

S

=

cos

4

x

=

2

cos

2

(

2

x

)

−

1

=

2

(

1

−

2

sin

2

x

)

)

2

−

1

=

2

(

1

−

4

sin

2

x

+

4

sin

4

x

)

−

1

=

2

−

8

sin

2

x

+

8

sin

4

x

−

1

=

8

sin

4

x

−

8

sin

2

x

+

1

=

R

H

S

sin

2

x

+

cos

2

x

=

1

cos

2

x

=

1

−

sin

2

x

substitute in the equation as follows

8

cos

4

x

−

8

cos

2

x

+

1

=

8

cos

2

x

(

cos

2

x

−

1

)

+

1

=

8

(

1

−

sin

2

x

)

(

1

−

sin

2

x

−

1

)

+

1

=

8

(

1

−

sin

2

x

)

(

−

sin

2

x

)

+

1

=

8

sin

4

x

−

8

sin

2

x

+

1

5 0
3 years ago
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Answer:

x = q + 3

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define Equation</u>

x - 3 = q

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Add 3 to both sides:          x = q + 3
8 0
2 years ago
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