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Digiron [165]
3 years ago
13

The first equation of the system is multiplied by 2. By what number would you multiply the second

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
8 0

Answer:

we will have to multiply the second equation by 3 to eliminate the y variable by adding.

Step-by-step explanation:

Given the equations

4x – 3y = 6              →   (1)

6x + 2y = 10             →   (2)

As the first equation is multiplied by 2,

2(4x – 3y) = (2)6

8x - 6y = 12               →  (3)

As we have to eliminate y,

so multiply the second equation by 3,

6x + 2y = 10

3(6x + 2y) = 3(10)

18x + 6y = 30              →  (4)

So now adding the new equations (3) and (4) will eliminate the y variable by adding

8x - 6y = 12

18x + 6y = 30

--------------------

26x + 0y = 42

26x = 42

x = 42/26

x = 21/13

Therefore, we will have to multiply the second equation by 3 to eliminate the y variable by adding.

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What is the gradient of the straight line 2y = -3x - 8 ? ​
lions [1.4K]

Answer:

- \frac{3}{2}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope (gradient) and c the y- intercept )

Given

2y = - 3x - 8 ( divide all terms by 2 )

y = - \frac{3}{2} x - 4 ← in slope- intercept form

with gradient = - \frac{3}{2}

8 0
3 years ago
After t seconds, a ball in the air from the ground level reaches a height of h feet given by the equation h= 144t-16t^2 . After
Effectus [21]
H=0
Therefore:
144t-16t²=0
t (144-16t)=0
We have two equations:
1)
t=0    (when the ball is released)
2)
144-16t=0
-16t=-144
t=-144 / -16=9  (this is the time )

Answer: the ball hit the ground in 9 s. 
3 0
3 years ago
URGENT!! NEED THIS IN TWO HOURS. DUMB ANSWERS WILL BE REPORTED ALTHOUGH I UNDERSTAND IF YOU MAKE A SIMPLE MISTAKE IN YOUR CALCUL
Andre45 [30]

Yo sup??

The given points are (1,1),(1,3) and (9,2)

equation of circle is

8x²+8y²+ax+by=0

let us plug in (1,1) in the equation we get

8+8+a+b=0

a+b=-16

let us now plug in (1,3) in the equation

8+8*3²+a+3b=0

a+3b=-80

let us. now solve the two equation in terms of a and b

we get

2b=--64

b=-32

and

a=-16+32

=16

therefore the equation is

8x²+8y²+16x-32y=0

Hope this helps

6 0
3 years ago
Evaluate: -8 over 9 + 4 over 9 - 2 over 9
stepan [7]
The answer is -2/3 from the solution above

4 0
3 years ago
Read 2 more answers
A city has a population of 280,000 people. Suppose that each year the population grows by 8.5% what will the population be in 8
r-ruslan [8.4K]

Answer:

Step-by-step explanation:

Population= 280000 people

Population growth rate= 8.5%

Population growth in a year=

{(100+8.5)÷100} × 280000 =303800 people

Pop growth in 8 years =

303800×8=

2,430,400 people ‍‍‍‍

3 0
3 years ago
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