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zalisa [80]
2 years ago
8

Examine the system of equations. −5x 5y = 40 4x 3y = 24 What is the solution? ( , ).

Mathematics
1 answer:
serious [3.7K]2 years ago
5 0

The solution of the equation is x = 0 and y = 8.

Given

The system of equation is;

\rm -5x + 5y = 40\\\\4x + 3y = 24

<h3>How to find the solution to a system of equations?</h3>

Any system of equations can be solved in different methods. To solve a system of equations in 2 variables, we need at least 2 equations following all the steps given below.

From equation 1

\rm -5x+5y=40\\\\5y=40+5x\\\\y = \dfrac{40+5x}{5}\\\\y = 8+x

Substitute the value of y in equation 2

\rm 4x+3y=24\\\\4x+3(8+x)=24\\\\4x+24+3x=24\\\\7x=24-24\\\\7x=0\\\\x=0

Substitute x = 0 in the equation 1

\rm -5x+5y=40\\\\-5(0)+5y=40\\\\5y=40\\\\y=\dfrac{40}{5}\\\\y=8

Hence, the solution of the equation is x = 0 and y = 8.

To know more about the System of equation click the link given below.

brainly.com/question/12895249

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HELP ASAP WILL GIVE 15 POINTS!!!
sladkih [1.3K]

Answer:

B

Step-by-step explanation:

Since its changing the y, we now it has to be outside the x. So its not A or D. Since it moves up, its a plus. This means its not c, so it has to be B.

5 0
3 years ago
25 POINTS PLEASE HELP ME!! Sam conjectures that for x ≤ - 2, it is true that x^5 + 7 &gt; x^3. Is Sam’s conjecture correct? Why
CaHeK987 [17]

The true statement about Sam’s conjecture is that the conjecture is not correct

<h3>How to determine if Sam’s conjecture is correct or not?</h3>

Sam’s conjecture is given as:

For x ≤ - 2

It is true that x^5 + 7 > x^3.

The inequality x ≤ - 2 means that the highest value of x is -2

Assume the value of x is -2, then we have:

(-2)^5 + 7 > (-2)^3

Evaluate the exponents

-32 + 7 > -8

Evaluate the sum

-25 > -8

The above inequality is false because -8 is greater than -25 i.e. -8 > -25 or -25 < -8

Hence, the true statement about Sam’s conjecture is that the conjecture is not correct

Read more about conjectures at

brainly.com/question/20409479

#SPJ1

5 0
1 year ago
Which inequality is equivalent to 8 &lt; 3x – 4(2x – 5)?
oksian1 [2.3K]

8<-5x+20 is one possible answer. it depends on how they are writing it. you need to do the distributed property.

5 0
3 years ago
Toby buys packs of 12 racing cars for R49,99 and sells each racing car for R10 at school
Ratling [72]

Answer:

1.1  R5.83

1.2 R70.01

1.3 58.34%

Step-by-step explanation:

Given that he buys a pack of 12 racing cars  for  R49,99 then the unit cost for a car which is the total cost divided by the number of cars in a pack

= R49,99/12

= R4.17

If each car is sold for R10 then the profit made on each car which is the difference between the cost and the selling price

= R10 - R4.17

= R5.83

The profit margin on one pack of 12 racing cars

Profit margin is the ratio of the profit to the total selling price

The total profit (profit on one pack of 12 racing cars)

= R5.83 * 12

=R70.01

Total selling price = R10 * 12

=R120

Margin = R70.01 / R120

= 58.34%

4 0
3 years ago
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
jonny [76]

Answer:

∠13 ≅ ∠16   - Vertical Angles Theorem

∠10 ≅ ∠14  - corresponding angles for parallel line p and q cut by the transversal s

∠5 ≅ ∠13  - corresponding angles for

parallel lines r and s cut by

the transversal q

∠1 ≅ ∠5 - corresponding angles for

parallel lines r and s cut by

the transversal q

Step-by-step explanation:

Linear Pair Theorem won't be used. When you look at the lines on the image you see that 13 and 16 are vertical from each other making there answer the vertical angles theorem. When you look at 10 and 14 you see that they lie on p and q with s going in the center of them. When you look at 5 and 13 they lie on s and r with q going down the middle of them. With 1 and 5  they also lie on p  and q but r goes down the center of them instead of s.

6 0
3 years ago
Read 2 more answers
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