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3 years ago

Solve the system of equations.

Mathematics

2 answers:

Ipatiy [6.2K]3 years ago

6 0

Answer:

the answer is y= x+7

Step-by-step explanation:

the answer is y= x+7 because you have to move the -2x over to where the 14 is and it becomes positive then you divide 2 by 2x and 14 by 2 then you get the answer

Ivan3 years ago

4 0

Answer:

1/2 and 1/3 respectively.

Step-by-step explanation:

Multiplying the second equation by 1/2 we have;

1/2 ( -2x. + y) = 14 * 1/2

-x + y/2 = 7--------------(3)

From (1); x- 3y =3

Adding eqn( 1) + (3)

( x- 3y =3) + (-x + y/2 = 7)

x-x -3y + y/2 = 3 + 7

-5y/2 = 10;

In order to eliminate y;

Multiplying eqn 1 by (1/3)

We have:

(1/3) (x- 3y= 3)

1/3 x - y =1-----------(4)

eqn(4) + (2)

[1/3 x - y = 1] + [-2x + y = 14]

1/3 x. -2x-y + y = 1 + 14

-5/3 x = 15

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Determine the equation of the linear function that has a slope of -4 and passes through the point (2,-4). Write the equation in

padilas [110]

Answer:

Part 1) $y=-4x+4$

Part 2) The graph in the attached figure

Step-by-step explanation:

Part 1)

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

we have

$m=-4\\point\ (2,-4)$

substitute in the linear equation

$-4=-4(2)+b$

solve for b

$-4=-8+b\\b=8-4\\b=4$

substitute

$y=-4x+4$

Part 2) Draw the equation

we know that

To graph a line we need two points

we have the y-intercept (0,4) and (2,-4)

Plot the points, connect them and join to draw the line

see the attached figure

7 0

3 years ago

Two ice skaters started on opposite ends of a 200-foot-long rink and then skated toward each

SSSSS [86.1K]

Answer:

The proportion that can be used to find x is;

(200-x)/x = 7/6

Step-by-step explanation:

Now, we want to find the proportion which can be used to find x.

From the question, we are told that the father skater traveled 7 ft for every 6 ft of the slower skater;

this means that the ratio of their speed is 7:6

Now, when they passed each other , the slower skater has traveled x ft, what this means is that the faster skater will have traveled a distance of (200-x) ft at that moment they passed each other.

Mathematically, since their time is equal i.e the time they used to pass each other, then, the ratio of their distances is same as the ratio of their speeds;

Hence;

(200-x)/x = 7/6 or x/(200-x) = 6/7

3 0

3 years ago

The Lewis family is building a circular swimming pool if the radius of the pool is 9 feet what is it’s circumference use TT =3.1

zzz [600]

Answer:

C =56.52 ft

Step-by-step explanation:

The circumference is found by

C = 2*pi*r where r is the radius

C = 2*3.14 * 9

C =56.52 ft

5 0

3 years ago

Please help ASAP ASAP asap

RoseWind [281]

The answer is 7 R 4! hoped this helps!

4 0

3 years ago

Plss it due today plssss don’t just take the points

Murljashka [212]

Answer:

Step-by-step explanation:

3x + 11 + x - 9 + 56 = 180

4x + 58 = 180

4x = 122

x = 30.5

6 0

3 years ago