All categories

3 years ago

4x - 3y = 6 ,7x + 3y =27

Mathematics

2 answers:

serg [7]3 years ago

7 0

Answer:

x=3 and y=2

Step-by-step explanation:

Let's solve your system by substitution.

4x−3y=6;7x+3y=27

Step: Solve4x−3y=6for x:

4x−3y=6

4x−3y+3y=6+3y(Add 3y to both sides)

4x=3y+6

4x /4 = 3y+6 /4 (Divide both sides by 4)

x= 3 /4 y+ 3 /2

Step: Substitute

3 /4 y+ 3 /2 for x in7x+3y=27:

7x+3y=27

7( 3 /4 y+ 3 /2 )+3y=27

33 /4 y+ 21 /2

=27 (Simplify both sides of the equation)

33 /4 y+ 21 /2 + (−21 /2 )

=27+ (−21 /2) (Add (-21)/2 to both sides)

33 /4 y= 33 2

33 /4 =33/4 (Divide both sides by 33/4)

y=2

Step: Substitute 2 for y in x= 3 /4 y+ 3 /2

x= 3 /4 y+ 3 /2

x= 3 /4 (2)+ 3 /2

x=3 (Simplify both sides of the equation)

Answer:

x=3 and y=2

HOPE THIS HELPS!!!! :)

<333333333333333

Greeley [361]3 years ago

3 0

Answer:

Step-by-step explanation:

4x - 3y = 6

7x + 3y = 27

11x = 33

x = 3

7(3) + 3y = 27

21 + 3y = 27

3y = 6

y = 2

(3,2)

You might be interested in

One half the sum of a number z and 3 1/2 is 4 1/2

solong [7]

4 1/2(2)=9. Multiply by 2 to get total
9- 3 1/2=z. Subtract 3 1/2 from total to get Z
5 1/2= Z

3 0

3 years ago

What is -7v(v+7)-2(1+4v)

son4ous [18]

Answer:

-7v² - 57v - 2

Step-by-step explanation:

-7v² - 49v - 2 - 8v

-7v² - 57v - 2

5 0

3 years ago

**THIS ONE 15 POINTS<br> Solve by Completing the Square

lions [1.4K]

X = 1/2 and x is also equal to 1/5

8 0

3 years ago

Read 2 more answers

a small bridge sit atop for cube shaped powers that all have the same volume. The combined volume of the four pillars is 503 how

Natasha_Volkova [10]

Answer:

60 inches long are the sides of the pillars.

Step-by-step explanation:

Given : A small bridge sits atop four cube shaped pillars that all have the same volume. the combined volume of the four pillars is 500 ft cubed.

To find : How many inches long are the sides of the pillars?

Solution :

Refer the attached picture below for Clarence of question.

The volume of the cube is $V=a^3$

Where, a is the side.

The combined volume of the four pillars is 500 ft cubed.

The volume of each cube is given by,

$V=\frac{500}{4}=125\ ft^3$

Substitute in the formula to get the side,

$125=a^3$

$a=\sqrt[3]{125}$

$a=5\ ft$

We know, 1 feet = 12 inches

So, 5 feet = $5\times 12=60$ inches

Therefore, 60 inches long are the sides of the pillars.

6 0

3 years ago

2 fractions have the same denominator. Which is the greater fraction: the fraction with the greater numerator or thr lesser nume

irinina [24]

If two fractions have the same denominator, that means the total number of parts is the same. For example, you have two batches of cookies, which each have 8 cookies.

But the numerator tells you the number of parts you are dealing with. Going back to our cookie example, say you ate 3 cookies and your little brother only had 1. If you ate 3 cookies, you ate 3/8 of the cookies. Your little brother ate 1/8 of the cookies.

So, which one is the greatest fraction? In this case, who had more cookies? That would be you. So, the greater numerator means a greater fraction.

Answer: the fraction with the greater numerator

5 0

3 years ago

4x - 3y = 6 ,7x + 3y =27​

4x - 3y = 6 ,7x + 3y =27