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3 years ago

Y=x+2 2x-y=-4 Solve the systems of equations

Mathematics

2 answers:

Simora [160]3 years ago

6 0

Answer: x = -2, y = 0

Step-by-step explanation:

$y=x+2\\2x-y=-4$

Substitute y = x+2 in $2x-y=-4$

Then we get, $2x-(x+2)=-4$

$2x-x-2=-4\\x-2=-4\\x=-4+2\\x=-2$

Then substitute x = -2 in any equations, just only one equation. For me, I'd substitute x = -2 in y = x+2

$y=-2+2y=0$

So the answer is x = -2 and y = 0

larisa86 [58]3 years ago

4 0

Answer:

Step-by-step explanation:

Given that,

y=x+2 equation 1

2x-y=-4 equation 2

This is a simultaneous equation.

Substitute equation 1 into equation 2

2x-y=-4. Since y=x+2

2x-(x+2) = -4

2x-x-2 = -4

x-2 = -4

x = -4+2

x = -2

Also from equation 1

y=x+2

Since x=-2

y=-2+2

y=0

Then, solution (x, y) = (-2,0)

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15. USE EFFICIENT METHODS Without

-Dominant- [34]

Answer:

$5^-7, 5^0, 5^4$

Step-by-step explanation:

Any time a number has a negative exponent that means that the resulting number will be a fraction (ex. $2^-2=\frac{1}{4}$ ). Therefore this number is the smallest number.

Anytime a number has an exponent of 0, it will always equal 1

8 0

2 years ago

last month john spent 75.00 dollars on games. this month he only spent 63.00. he spent ___ percent less this month

aivan3 [116]

First, subtract 63 from 75 to find out how much it decreased.
75 - 63 = 12
Divide 12 by 75.
12 / 75 = 0.16
In percents, that is 16%.
He spent 16% less this month.
Hope this helps!

3 0

4 years ago

Read 2 more answers

Given: TSR and QRS are right angles; T ≅ Q

allsm [11]

Answer:

The answer is number (2) ⇒ because of the AAS congruence theorem

Step-by-step explanation:

* Lets use the information to solve the problem

- In the given triangles TSR and QRS

# We have a common side RS or SR

# Two right angles TSR and QRS

# m∠T = m∠Q ⇒ given

* So we have two pairs of angles and one common side, lets

revise the cases of congruence

- SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ

- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and

including angle in the 2nd Δ

- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ

≅ 2 angles and the side whose joining them in the 2nd Δ

- AAS ⇒ 2 angles and one side in the first triangle ≅ 2 angles

and one side in the 2ndΔ

* Now lets read the statements and write the missing

Step 1: m∠TSR = m∠QRS = 90° ⇒ because all right angles are congruent

Step 2: m∠T = m∠Q ⇒ because it is given

Step 3: SR ≅ RS ⇒ because of reflexive property (common side)

Step 4: Δ TSR ≅ ΔQRS ⇒ because of the AAS congruence theorem

* The answer is number (2)

4 0

3 years ago

Read 2 more answers

Jamie has a bag containing purple, pink, yellow, and blue marbles. There are a total of 40 marbles in the bag. Jamie randomly se

Ad libitum [116K]

Answer:

1 pink marble

Step-by-step explanation:

If Jamie selected 10 times the pink marble in a total of 420 tries, we can assume that the proportion of pink marble in the total number of marbles is:

10 / 420 = 1/42

So to predict a good number of pink marbles in the total 40 marbles, we just need to multiply the 40 marbles by the proportion found above:

pink marble = 40 * (1/42) = 0.9524

As this number needs to be a whole number, a good assumption is that there is 1 pink marble in the 40 marbles.

8 0

3 years ago

The sum of 5 times a number and <br> minus −2, plus 7 times a number

Olenka [21]

Answer:

12x + 2

Step-by-step explanation:

Let the number be represented by x.