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3 years ago

If the given ordered pair equal then find value of x and y(3x+5)=(x+2)and (4y+7)= (y+3)

Mathematics

1 answer:

Yanka [14]3 years ago

7 0

Answer:

3x+5 =x+2

3x-x=2-5

2x= –3

x=-3/2

4y+7=y+3

4y–y =3-7

3y=–4

y= —4/3

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3. The sum of x and y is 9. The value of y is two more than the value of x. Write a system of equations to model this.

hodyreva [135]

Answer:

x + y = 9

y = x + 2

Step-by-step explanation:

We need to write a system of equations to represent the given situation . The statements are ,

Statement 1:- The sum of x and y is 9.

Mathematically , we can write it as ,

$\rm\implies x + y = 9$

Statement 2:- The value of y is two more than the value of x.

This simply means that y equals to 2 + x , that is

$\rm\implies y = x+2$

Therefore the system of equations will be ,

x + y = 9
y = x + 2

Also when we will try to solve the equations we will get ,

$\rm\implies x + y = 9$

Put y = x + 2 , we have ,

$\rm\implies x + x + 2= 9$

Add the like terms ,

$\rm\implies 2x +2 = 9$

Transpose 2 to RHS ,

$\rm\implies 2x = 9 -2 = 7$

Divide both sides by 2 ,

$\rm\implies \boxed{\blue{\rm\quad x = 3.5\quad}}$

Similarly we will get the value of as ,

$\rm\implies 3.5 + y = 9$

Transpose 3.5 to RHS ,

$\rm\implies y = 9 - 3.5$

$\rm\implies \boxed{\blue{\rm\quad y = 5.5\quad}}$

Therefore ,

$\begin{cases} \rm x = 3.5 \\\\\rm y = 5.5 \end{cases}$

6 0

3 years ago

The volume of a golf ball is approximately 4in.3 what is the diameter round you answer to the nearest whole number

marin [14]

Answer:

D. 2 inches.

Step-by-step explanation:

Given the following data;

Volume of golf (sphere) = 4 in³

A golf ball is spherical in shape. Thus, to find its volume we would use the formula for the volume of a sphere.

$Volume \; of \; a \; sphere = \frac {4}{3} \pi r^{3}$

Substituting into the equation, we have;

$4 = \frac {4}{3} * 3.142* r^{3}$

Cross-multiplying, we have;

$12 = 4 * 3.142* r^{3}$

$12 = 12.568 * r^{3}$

$r^{3} = \frac {12.568}{12}$

$r^{3} = 1.0473$

Taking the cube root of both sides, we have;

Radius, r = 1.016 inches.

To find the diameter;

Diameter = radius * 2

Diameter = 1.016 * 2

Diameter = 2.03 ≈ 2 inches. 

8 0

3 years ago

Read 2 more answers

F(x) = 2x + 6, g(x) = 4x2 Find (f + g)(x).

son4ous [18]

(f+g)(x) is simply saying add these two problems together.

(2x+6) + (4x^2)

Parenthesis are now useless, as there is only addition.

2x + 6 + 4x^2

Reorder, cause it's pretty and familiar

4x^2 + 2x + 6

We could further simplify

2(2x^2 + x + 3)

5 0

4 years ago

3(2x - 1) + 7 = -44 solve for x

Jet001 [13]

Answer:

I love algebra anyways

The ans is in the picture with the steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

If Paul is 2 times older than matt and matt it two times older than Charles ( age 12 ) how old is Paul?

max2010maxim [7]

Charles is twelve. Matt is two times older so he is 24. Paul is two times older than Matt so he is 48.

5 0

3 years ago

If the given ordered pair equal then find value of x and y(3x+5)=(x+2)and (4y+7)= (y+3)​

If the given ordered pair equal then find value of x and y(3x+5)=(x+2)and (4y+7)= (y+3)