All categories

3 years ago

What is the x-value of the solution to the system of equations?

Mathematics

2 answers:

USPshnik [31]3 years ago

7 0

Answer:

x=4

Step-by-step explanation:

multiply first eq. by 3 and second by 4 to get rid of y

15x+12y=24

8x-12y=68

add the equations

23x = 92

divide both sides by 23

x=92/23=4

arlik [135]3 years ago

4 0

Answer:

x = 4

Step-by-step explanation:

Given the 2 equations

5x + 4y = 8 → (1)

2x - 3y = 17 → (2)

Multiplying (1) by 3 and (2) by 4 then adding will eliminate the y- term

15x + 12y = 24 → (3)

8x - 12y = 68 → (4)

Add (3) and (4) term by term to eliminate y, that is

23x = 92 ( divide both sides by 23 )

x = 4

You might be interested in

Priya bought these items at the grocery store. Find each unit price. A. 12 eggs for $3. How much is the cost per egg? B. 3 pound

Ratling [72]

Answer: A. Cost per egg = $4 .

B. Cost per pound = $ 2.5

C. Cost per roll = $ 0.5

D. Cost per apple = $0.35

Step-by-step explanation:

Formula: cost per item = (total cost) ÷ (number of items)

A. 12 eggs for $3.

Cost per egg = $ (12÷3) = $4

So, Cost per egg = $4 .

B. 3 pounds of peanuts for $7.50

Cost per pound of peanuts = $ (7.50 ÷ 3)= $ 2.5

So, Cost per pound = $ 2.5

C. 4 rolls of toilet paper for $2.

Cost per roll = $ (2 ÷4 ) = $ 0.5

So, Cost per roll = $ 0.5

D. 10 apples for $3.50.

Cost per apple = $ (3.50 ÷ 10)= $ 0.35

So, Cost per apple = $0.35

4 0

3 years ago

A cylinder is filled with 900 liters of water.find the area of its base if height of cylinder is 20dm.

Lisa [10]

The formula of the volume of a cylinder:

$V=\pi r^2H\\\\where:\\\\r-a\ radius\\H-a\ height\\\pi r^2-an\ area\ of\ base$

We have:

$V=900\ liters\\1L=1dm^3\ therefore\ V=900L=900dm^3$

and

$H=20\ dm$

substitute:

$\pi r^2\cdot20=900\ \ \ |:20\\\\\pi r^2=45\ dm^2$

Answer: The area of a base of the cylinder is equal 45 dm².

5 0

3 years ago

3(x-5) = 5x - (3 - x)

alina1380 [7]

Answer:

X=-4

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

A number cube is rolled 14 times and the results are recorded in the table.

marshall27 [118]

Answer:

D.5/14

Because 4 appeared five times over the total

8 0

2 years ago

Sandra is putting up a fence around her garden, which is in the shape of a square. Each foot of fencing costs $9. If each side o

mestny [16]

Answer:

Sandra will need 32 feet of fencing. This is because the shape of the garden is a square. The length is 8 ft, so the perimeter of the garden is 32.

Step-by-step explanation:

4 0

3 years ago