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Romashka [77]
3 years ago
15

What is the solution to the system of equations below? {3x+4y=(-2) {2x-4y=(-8)

Mathematics
2 answers:
Digiron [165]3 years ago
7 0

Answer:

x = -2 , y = 1

Step-by-step explanation:

add the terms :

3x+2x+4y-4y = -2-8

5x = -10

x = -2

now that x = -2 , plug its value into any of the two equations (we'll take the first)

3*-2 +4y = -2

4y = 4

y = 1

kompoz [17]3 years ago
4 0

Answer:

x = -2

y = 1

Step-by-step explanation:

{3x+4y=(-2)

{2x-4y=(-8)

{4y = -2 - 3x

{2x - 4y = -8

Substitute the value of 4y in 2x - 4y = -8

2x - (-2 - 3x) = -8

x= - 2

Substitute the value of x into 2x - 4y = -8

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

y = 1

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james ran 25/100 of a mile yesterday and his friend Natasha ran 4/10 of a mile. who ran farther and how do u know​
Elanso [62]

Answer: Natasha ran further

Step-by-step explanation:

1. Simplify both fractions into a common denominator:

25/100 and 40/100

2. Compare:

40/100 > 25/100

3. Answer:

Natsha ran further

Have a nice day! :D

7 0
3 years ago
Read 2 more answers
Two kids are roller skating. Amy, with a mass of 55 kg, is traveling forward at 3 m/s. Jenny, who
alekssr [168]

Answer:

They traveling at 0.37\ m/s in backward direction.

Step-by-step explanation:

Given mass of Ammy m_1=55kg

and velocity is forward at v_1=3m/s

Also, mass of Jenny m_2=40kg

Who is travelling in opposite direction v_2=-5m/s

Let velocity in forward direction is positive and velocity in backward direction is negative.

Also, velocity after crash is v

As they crashed into each other and they moved as one mass. We can apply principle of conservation of momentum.

Conservation of momentum says momentum before collision should equal to momentum after collision.

m_1v_1+m_2v_2=(m_1+m_2)v

(55\times3)+(40\times(-5))=(55+40)v\\\\165-200=95v\\\\-35=95v\\\\v=\frac{-35}{95}=-0.368m/s

So, velocity after collision v≅-0.37m/s is in opposite direction. That is the direction of Jenny.

6 0
3 years ago
A father’s age now is three times the age that his son was 4 years ago. In
Mice21 [21]
Let ‘s’ be the son’s age 12 years ago.
Let ‘f’ be the father’s current age.

4 years ago, the son was:

s-4

So, his father is currently:

3(s-4)

=

3s-12

Therefore:

f = 3s-12

In twelve years, the son will be:

s+12

And the father will be:

f+12

This can also be written as:

3s-12+12 as the fathers younger age would be f = 3s+12

=

3s

So, we know that s+12 is half the fathers current age, meaning the father is currently 2(s+12) which is equivalent to 2s+24. Also, we know that the father is currently 3 times the sons age 12 years ago, so 3s (proven by the calculations we made above). Therefore, 2s+24=3s which means 24=s. We can then substitute this, and we will receive 24+12 = 36

Son’s current age: 36

We then substitute the son’s age 12 years ago into 2s+24 to give us the father’s age.

2(24)+24 = 72

Father’s current age: 72










7 0
2 years ago
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aleksley [76]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
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Masteriza [31]

Answe360

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