MATHEMATICS COLLEGE

Solve the equations
5x-8y=14
5x-7y=6

Answers

Answer 1

Answer:

Answer:

In the explanation. :)

Step-by-step explanation:

{x,y}={2,3}

Hope this helps. Have a great day!

Answer 2

Answer:

Answer:

x = -10, y = -8

Step-by-step explanation:

We will use the method of elimination to find y.

Step 1: 5x - 8y = 14

5x - 7y = 6

Step 2: 0x - y = 8

Step 3: y = -8

Now, we have to substitute the y value into one of the original equations. In this case we will use the first equation which is 5x - 8y = 14.

5x - 8(-8) = 14

5x + 64 = 14

5x = - 50

x = -10

Just to make sure we have the right values, we will substitute both values into one of the equations.

5(-10) - 7(-8) = 6

-50 + 56 = 6

6 = 6 True

5(-10) - 8(-8) = 14

-50 + 64 = 14

14 = 14 True

Both of these values work, so they are the answers.

Hope this helps!

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PLZ HELP ME GEOMETRYquestion is below

Please please help me!!solve the system of equations.
{ x= 3y + 4
{3x - 9y = 12

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. There is one solution. The solution of the system is __ ( simplify your answer. Type an ordered pair.)
B. The solution set of the system {(x,y)| x = 3y+4}.
C. The solution set is ∅.

Answers

Answer:

infinite solution

Step-by-step explanation:

if substitute 3y+4Into 3x your equation should be 3(3y+4)-9=12 then you multiply and combine like terms then your answer should be 12=12 which is a true statement meaning it has infinite solutions

Solve the inequality. 3x + 7 > 4x + 2 A) x > 5
B) x < 5
C) x > 9
D) x < 9

Answers

Answer:

answer is b

Step-by-step explanation:

explanation in the pic!

if you know the order from least to greatest of 5 negative rational numbers how can you use the information to order the absolute value of those numbers from least greatest

Answers

Consider the ordering

... -2 < -1

Now consider the ordering of their absolute values:

... 1 < 2

_____

Hopefully, you see that changing the sign reflects the sequence across the origin, so that the ordering is reversed when the signs are changed.

James has $20.00 in his checking account. He goes to the bank and withdraws $20.00. How much money does James have in his account immediately after withdrawing the $20.00?

Answers

Answer:

$0.00

Step-by-step explanation:

$20.00-$20.00=$0.00

You need to purchase juice for a party. The juice is sold for $3 per gallon or $2.50 per quart. You will need 12 oz for each of the 30 students in the class. How much juice will you need

Answers

To determine the amount of juice you will need you will multiply the number of students by how much juice each student will get. This is the idea of grouping. We will need 30 groups of 12 ounces.

30 x 12 = 360 ounces.

You will need 360 ounces of juice.

A tank contains 22 gallons of water when all of a sudden the water begins draining at a constant rate of 2 gallons per hour. Let t represent the number of hours since the water begun draining and let v represent the volume of water in the tank. Write a formula that expresses y in terms of t .

Answers

Answer:

V= 22-2t

Step-by-step explanation:

I guess the alphabet should be v instead of y. So I am working using v

The rate at which water is draining from the tank is 2gallons/hour. This is the rate of water removal from the tank. So after an hour, 2 × 1= 2 gallons would have drained. After 5 hours, 2×5 =10 gallons would have drained

Therefore to obtain the amount of water in gallons that have been removed from the tank, you will multiply the rate by the time in hours after which the draining started.

Amount (gallons) =2×t

The amount of water remaining in the tank will be obtained by subtracting the amount of water drained after some hour (2×t) from the initial amount of water in the tank (22)

Therefore, the amount of water present in the tank (v)= 22-2t or 2(11-t) gallons

Final answer:

The formula to express volume of the water v in terms of time t is v = 22 - 2t, where 22 is the initial volume and 2t represents the rate at which the water is draining.

Explanation:

This problem is a mathematical representation of a real-world scenario using a linear equation. The volume of water v in the tank can be represented in terms of time t through the equation v = 22 - 2t. This equation illustrates the initial volume of water in the tank (22 gallons) and accounts for the constant rate at which the water is draining (2 gallons per hour).

When time t = 0 (meaning no time has passed since the water started draining), the volume of water v = 22 (the initial volume). As time increases, the volume gradually decreases at a rate of 2 gallons per hour, represented by the term -2t.