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skad [1K]
3 years ago
14

Find the solution to the system of equations by using the substitution method Y=4x+1 Y=x+1

Mathematics
1 answer:
Iteru [2.4K]3 years ago
5 0

Answer:

x = 0

y = 1

Step-by-step explanation:

y = 4x + 1 -------eqn 1

y = x + 1 -------eqn 2

Looking for x, let's use eqn 1

y = 4x + 1

4x = y - 1

Divide both sides by 4, to get x

4x/4 = (y - 1) / 4

x = (y - 1) / 4

Substitute the value of x into eqn 2

y = x + 1

y = (y - 1) / 4 + 1

LCM = 4

y =( y - 1 + 4)/4

y =( y + 3) / 4

Cross multiply

y * 4 = y + 3

4y = y + 3

4y - y = 3

3y = 3

Divide both sides by 3, to get y

3y / 3 = 3/3

y = 1

Substitute y = 1 , into eqn 1

y = 4x + 1

1 = 4x + 1

1 -1 = 4x

0 = 4x

Divide both sides by 4, to get x

0/4 = 4x/4

0 = x

x = 0

Hint, let's check if the values are correct

Let's pick eqn 2

y = x + 1

y = 1

x = 0

1 = 0 + 1

1 = 1

Correct

Let's try the eqn 1

y = 4x + 1

1 = 4(0) + 1

1 = 0 + 1

1 = 1

Correct too

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Sylvia plans to place 617 stamps in an album. Each page of the album holds 5 stamps. She uses division to find out how many full
bija089 [108]

Answer:

123 full pages

Step-by-step explanation:

Given

Total\ Stamps = 617\ stamps

Each\ Page = 5\ stamps

Required

Determine the number of full page

To do this, we simply divide the total stamps by stamps in each page;

Pages = \frac{Total\ Stamps}{Each\ Page}

Pages = \frac{617}{5}

Pages = 123.4

Then we record only the quotient

The quotient is the digits before the decimal

Pages = 123

<em>Hence, she has 123 full pages</em>

8 0
3 years ago
PART1
Mice21 [21]
Part 1:\frac{5x^{3} + 10x^{2} + 15x}{5x} = \frac{5x^{3}}{5x} + \frac{10x^{2}}{5x} + \frac{15x}{5x} = x^{2} + 2x + 3
The answer is C.

Part 2:\frac{3x^{4} + 5x^{2} + 2x}{x} = \frac{3x^{4}}{x} + \frac{5x^{2}}{x} + \frac{2x}{x} = 3x^{3} + 5x + 2
The answer is A.
8 0
3 years ago
Solve the system by substitution.
Iteru [2.4K]

Answer:

I gave you most of the answer. I'll let you check my work and find the point using the solution.

Step-by-step explanation:

The first thing we do is we divide by negative one in the first equation to get

y = -x.

-3x + 3y = -36

Plug in y = -x and get

-3x + 3(-x) = -36

= -3x - 3x = -36

This equals -6x = -36

divide both sides by -6 and you get 6. 6 is your x value

Plug 6 back in to the second equation.

-3x + 3y = -36

-3(6) + 3y = -36

-18 + 3y = -36

3y = -18

y = -6

3 0
2 years ago
<img src="https://tex.z-dn.net/?f=3h%20%3D%207%28%5Cfrac%7B2%7D%7B7%7D%20-%5Cfrac%7B3%7D%7B7%7Dh%29-10" id="TexFormula1" title="
Anit [1.1K]

Your method is correct.

Now,

\implies 3h = -4

Divide both sides with 3

3h \div 3 = -4 \div 3

h = -1.333...

7 0
3 years ago
Read 2 more answers
Need help ASAP please!! Thank you!
deff fn [24]
What’s the question
6 0
3 years ago
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