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3 years ago

6. What is the value of x in the following system of equations? x + y = -10 y = x - 2

Mathematics

2 answers:

Maru [420]3 years ago

7 0

Answer:

X= -4

Step-by-step explanation:

Hello. For to solve that, you need to use the sustitution method:

1. You need clear X in the first equation and put in the second

X+Y = -10

X = -10-Y

2. Y = X-2, then you replaced the X in this equation:

Y = (-10-Y) - 2

Y+2=-10-Y

2Y=-10-2

2Y= -12

Y= -12/2

Y=-6

3. Now you use the Y value for to solve X:

X=-10-Y, then

X =- 10-(-6)

X = -4

Kobotan [32]3 years ago

6 0

Plug in x-2 for y
x + x - 2 = -10
2x = 12, x = 6
The value of x is 6

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Plz solve if you can. Show ur work. I will name Brainliest! (: I need help plzzzzzzzzzz, especially on the check your work part.

maksim [4K]

1) -x + 4 = -2x - 6

Add(2x)

x+4=-6

Subtract(4)

x = -10

Check your work

-(-10)+4=-2(-10) - 6

10+4=-2(-10) - 6

14=-2(-10)

14=20 - 6

14=14

Correct :)

2) 4R - 4 = 3R + 10

Add 4

4R=3R+14

Subtract 3R

R = 14

Check your work

4(14)-4=3(14)+10

56-4=3(14)+10

52=3(14)+10

52=42+10

52=52

Correct :)

3) 2Y - 3 = Y - 4

Add 3

2Y = Y - 1

Subtract Y

Y = -1

Check your work

2(-1)-3=-1-4

-2-3=-1-4

-5=-5

Correct :)

Hope it helps <3

6 0

3 years ago

What is the perimeter of triangle PQR? Show your work.

xxMikexx [17]

Answer:

The perimeter of triangle PQR is 17 ft

Step-by-step explanation:

Consider the triangles PQR and STU

1. PQ ≅ ST = 4 ft (Given)

2. ∠PQR ≅ ∠STU (Given)

3. QR ≅ TU = 6 ft (Given)

Therefore, the two triangles are congruent by SAS postulate.

Now, from CPCTE, PR = SU. Therefore,

$3y-2=y+4\\3y-y=4+2\\2y=6\\y=\frac{6}{2}=3$

Now, side PR is given by plugging in 3 for 'y'.

PR = 3(3) - 2 = 9 - 2 = 7 ft

Now, perimeter of a triangle PQR is the sum of all of its sides.

Therefore, Perimeter = PQ + QR + PR

= (4 + 6 + 7) ft

= 17 ft

Hence, the perimeter of triangle PQR is 17 ft.

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4 years ago

What is the number and the question of 2+2

Maurinko [17]

The answer is 4. The question is what is 2+2?

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3 years ago

What is the slope of the line? 3(y - 1) = 2x + 2 Choose 1 answer:

fenix001 [56]

Answer:

2/3

Step-by-step explanation:

3(y - 1) = 2x + 2

3y - 3 = 2x + 2

3y = 2x + 5

3y/3 = 2x/3 + 5/3

y = 2/3x + 5/3

Does that help?

4 0

3 years ago

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mylen [45]

Answer:

Step-by-step explanation:

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3 years ago