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Lady bird [3.3K]
3 years ago
5

Please help with at least one of these( I accept 1 answer if you have it; make sure you are 100% positive its correct though!)

Mathematics
1 answer:
Tema [17]3 years ago
7 0

You do not have a attachment on this question.

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Using substitution to solve the system below, what expression should be substituted into the first equation? 2x-4y=-4 and x+2y=8
inna [77]

Answer:

Given the system of equation:

2x-4y=-4                    ......[1]

x+2y=8                      ......[2]

we can rewrite equation [2] as;

x = 8-2y                ......[3]

Substitute equation [3] into [1] to eliminate x, and solve for y;

2(8-2y)-4y = -4

Using distributive property: a\cdot (b+c) = a\cdot b+ a\cdot c

16-4y -4y = -4

Combine like terms;

16 - 8y = -4

Add 4 to both sides we have;

20 - 8y = 0

Add 8y to both sides we have;

20 = 8y

Divide 8 to both sides we have;

y = 2.5

Substitute the y-value in [3] we have;

x = 8-2(2.5)

x = 8 - 5 = 3

Therefore, the  expression should be substituted into the first equation is, x = 8-2y  and also the value of x = 3 and y = 2.5

5 0
3 years ago
Read 2 more answers
Hassan has 183/4 yard of fabric it takes 31
Karo-lina-s [1.5K]
Your question seems incomplete :-(
5 0
3 years ago
Valentina is trying to decide whether to join her school's swim team. During the summer, the team practices 4 days per week. Eac
Aloiza [94]

Answer:

4

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Solve the following pairs of simultaneous equations.
Sergeeva-Olga [200]

Answer and step-by-step explanation:

a) -4x + 5y = -9 (2)

2x + 3y = 21

Multiply the second equation by 2, you will get:

4x + 6y = 42 (1)

Use (1) plus with (2), you will get:

4x + (-4x) + 6y + 5y = -9 + 42

11y = 33

y = 33/11

y = 3

4x + 18 = 42

4x = 24

x = 6

b) 2x + 5y = -6

3x + 2y = 2

Multiply first equation by 3, you will get:

6x + 15y = -18 (1)

Multiply the second equation by 2 and you will get:

6x + 4y = 4 (2)

Subtract (1) by (2), we got:

6x -6x + 15y - 4y = -18 - 4

11y = -22

y = -22/11

y = -2

6x + 4y = 4

6x -8 = 4

6x = 12

x = 2

c) 2x - 2y = -4

5x + 4y = 17 (2)

Multiply the first euation by 2, we got:

4x - 4y = -4 (3)

Use (3) minus for (2), we get:

4x - 5x -4y + 4y = -4 - 17

-x = -21

x = 21

4x - 4y = -4

84 - 4y = -4

-4y = -4 + 84

-4y = 80

y = 80 / -4

y = -20

d) 2x - 3y = 6

4x - 5y = 9 (1)

Multiply the first equation by 2, we got:

4x - 6y = 12 (2)

Use (1) minus for (2), we got:

4x -4x - 5y - 6y = 9 -12

-11y = -3

y = -3/-11

y = 3/11

2x - 3y = 6

2x - 9/11 = 6

2x = 66/11 + 9/ 11

2x = 75/11

x = 75/11 * 1/2

x = 75 / 22

e) x/2 + y/3 = 2

x/4 + y/3 = 4

Use the first equation subtract the second equation, we got:

x/2 - x/4 + y/3 - y/3 = 2 - 4

2x/4 -x/4 = -2

x/ 4 = -2

x = -2 * 4

x = -8

x/2 + y/3 = 2

-8 / 2 + y/3 = 2

y / 3 = 2 + 4

y/3 = 6

y = 6*3

y = 18

f) x/3 + y/2 = 3/2 (1)

x/2 + y/5 = -1/2 (2)

I don't know how to solve this, sr

Hope this helped :3

3 0
3 years ago
What is the simplified answer to 5+3w+3-w​
DaniilM [7]

Answer:

<h2>5 + 3w + 3 - w = 2w + 8</h2>

Step-by-step explanation:

5+3w+3-w\qquad\text{combine like terms}\\\\=(3w-w)+(5+3)\\\\=2w+8

6 0
3 years ago
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