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3 years ago

How do you solve Y=x+1 x+2y=14 in substitution?

Mathematics

1 answer:

AleksAgata [21]3 years ago

6 0

Answer:

(4, 5 )

Step-by-step explanation:

Given the 2 equations

y = x + 1 → (1)

x + 2y = 14 → (2)

Substitute y = x + 1 into (2)

x + 2(x + 1) = 14 ← distribute and simplify left side

x + 2x + 2 = 14

3x + 2 = 14 ( subtract 2 from both sides )

3x = 12 ( divide both sides by 3 )

x = 4

Substitute x = 4 into (1) for corresponding value of y

y = 4 + 1 = 5

Solution is (4, 5 )

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Which expression models this phrase? 27 decreased by the difference of a number and 3 A. (n – 3) – 27 B. 27 – n + 3 C. 27 – (n –

inysia [295]

The answer is c because you have to say 27 minus the number minus 3

7 0

3 years ago

Read 2 more answers

It takes a train 60 seconds to completely drive through a bridge of 1260 m, and 90 seconds to completely drive through a tunnel

Olegator [25]

The length of train is 120 meters

The speed of train is 25 meter per second

Solution:

The speed is given by formula:

$speed = \frac{distance}{time}$

Given that,

It takes a train 60 seconds to completely drive through a bridge of 1260 m

And 90 seconds to completely drive through a tunnel of 2010 m

Let the length of the train be "x"

The total distance travelled by the train across the bridge is given by:

total distance = x + 1260 + x = 2x + 1260

[ here we use x + x to represent that train completely drives through bridge ]

The time taken is given as 60 seconds

Therefore, the speed is given as:

$speed = \frac{2x+ 1260}{60}$

The total distance travelled by the train through the tunnel is given by:

total distance = x + 2010 + x = 2x + 2010

The time taken is given as 90 seconds

Therefore, the speed is given as:

$speed = \frac{2x+ 2010}{90}$

The speed of the train was the same in both cases.

Equate both speeds

$\frac{2x+ 1260}{60} = \frac{2x+ 2010}{90}$

$\frac{x+630}{30} = \frac{x+1005}{45}$

$45(x+630) = 30(x+1005)\\\\45x + 28350 = 30x + 30150\\\\45x - 30x = 30150 - 28350\\\\15x = 1800\\\\x = 120$

Thus length of train is 120 meters

Find the speed of train:

$speed = \frac{2x+ 1260}{60}\\\\speed = \frac{2(120) + 1260)}{60}\\\\speed = 25$

Thus speed of train is 25 meter per second

5 0

3 years ago

9 times x, divided by 4

snow_lady [41]

Answer:

$\frac{9x}{4}$

7 0

3 years ago

Someone help me please☹️

Levart [38]

Answer:

my best advice: look at the y-intercepts!

Step-by-step explanation:

when the equations are set out like this, the last number (in this case "+4" and "-2"), represents where they cross the y axis. this gives you a great place to start.

if you plot (0, 4) for the first equation, you can then move right one square and down one square to get the next point in the equation.

the next one starts with (0, -2) and goes right one square and up two

5 0

3 years ago

1. A package contains 7 red candies, 4 blue candies, and 3 green candies. Three candies are drawn

erastovalidia [21]

Answer:

the answer i got was 0.214

6 0

3 years ago