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3 years ago

I need help with all of them and if you can't help with all of them just answer one of them please. Look at the picture

Mathematics

1 answer:

likoan [24]3 years ago

5 0

All you have to do is substitute the y value from the 1st equation into the second equation and solve...

a) y= 2-x
5x + 4y = 5

Substitute (2-x) into the second equation anywhere there is a y...

5x + 4y = 5
5x + 4(2-x) = 5

Now solve

5x + 8 - 4x = 5
5x - 4x + 8 = 5
x + 8 = 5
x = -3

Now that you have a solution for x, substitute -3 into either of the original equations anywhere there is an x then solve for y...

y = 2 - x
y = 2 - (-3)
y = 2+3 = 5

You solved for x and got -3 and solved for y and got 5, so your solution set is
(-3, 5).

Now check it by substituting both numbers into one of the original equations and you should have a true statement if it is correct...

y = 2 - x
5 = 2 - (-3)
5 = 2+3
5 = 5

True statement... it checks!

note* during the check, if the equation would have worked out to something like 2 = 5, then that is a false statement therefore the solution set would be wrong and you'd have to go back and find the mistake.

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The sum of two integers is 26. the sum of the squares of the two integers is 340. what is the product of the two numbers?

Phoenix [80]

Lets say that the two unknown integers are $n$ and $m$ .

We know the following things about $n$ and $m$ :

$n+m=26$
$n^2+m^2=340$

And, we want to find $nm$ .

To solve this, we'll use the expansion of the squared of the sum of any two inegers; this is expressed as:

$(n+m)^2=n^2+2nm+m^2$

So, given what we know about the unknown integers, the previous can be written as:

$(26)^2=340+2nm$

We can easily solve for $nm$ :

$nm= \frac{(26)^2-340}{2}= \frac{676-340}{2}= \frac{336}{2}=168$

The answer is 168.

Another approach to solve the problem is, from the two starting equations, compute the values of $n$ and $m$ , which are 12 and 14, and directly compute their product; however, the approach described is more elegant.

5 0

2 years ago

A salesperson makes a monthly salary of $1,200 plus 3% of the sales she makes that week. If her total take home pay for the mont

Westkost [7]

how much did they sale? you can not complete the answer without a sale amount. because you are asking that they made $1,200 plus 3% of sale, but you do not have the amount they sold so it just $1,200+3% of the sale , but no number for how much they sale, but for advice i would get the total amount they sale and divide by 100 then times it by 3 then try to fill in the void on how they went from 1,200 to 2500. You need to tell us the amount they sold and then the we can answer your question, but without you will not get your answer, so your question is incomplete.

8 0

3 years ago

Find each product <br><br> 6xy2(x4+3x3y+3xy3)<br><br> PLEASE HELP!!! ASAP!!

ser-zykov [4K]

Answer:

6x^3y^2+18x^4y^3+18x^2y^5

Step-by-step explanation:

Multiply each term:

6x^3y^2+18x^4y^3+18x^2y^5

Plz mark me brainliest!!

6 0

3 years ago

Makayla has $8 to buy tickets at the school fair. each ticket costs $1.50. which inequality best represents how many tickets she

forsale [732]

Answer:

N < 5

Step-by-step explanation:

"Makayla has $8 to buy tickets at the school fair. each ticket costs $1.50" can be written as $8 = ($1.50/ticket)*N.

Dividing both sides by ($1.50/ticket) results in

---------------------- = 5 1/3 tickets

($1.50/ticket)

or N < 5.

7 0

2 years ago

Read 2 more answers

A green die and a red die are tossed. What is the probability that a "4" shows on the green die and a "5" shows on the red die?

Vera_Pavlovna [14]

Answer:

1 out of 6 for green die and 1 out of 6 for red die

Step-by-step explanation:

As we know there are six numbers on both of the dices

so if we toss a die there is a 1 out of 6 outcomes that a 4 comes out for the green die and 1 out of 6 outcomes again for the red die

5 0

2 years ago