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alukav5142 [94]
3 years ago
5

Which of the following equations shows how substitution can be used to solve

Mathematics
1 answer:
maxonik [38]3 years ago
3 0

Answer:  Choice B)

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

============================================

Reasoning:

We start with the second equation 2x+5y = 3

Since y = 2x+3 from the first equation, we can replace every copy of y with (2x+3). This replacement is valid because y and 2x+3 are the same.

So that's how we go from 2x+5y = 3 to 2x+5(2x+3) = 3

This replacement is done to get rid of the y variable, and it allows us to solve for x later on.

You might be interested in
it takes 8 labours 6days to complete a certain job.how many labours would complete the job in 15 days.​
VashaNatasha [74]

Answer:

Step-by-step explanation:

Required man days to complete the job = 8 * 6

                                                                   = 48 Man Days

Required labors to complete the job by 15 days = 48/15

                                                                               = 3.2

It means, it is required 4 labors can complete the certain work by 15 days

3 0
3 years ago
Please help!!! Thank you!!!
Reptile [31]
To find the total area of this figure, it would be easiest to find the area of the left part (rectangle) and then find the area of the right part (triangle), and then add the two area values together.

First, we will find the area of the rectangle, using the formula A = lw, where l is the length of the rectangle and w is the width of the rectangle.
The length of the rectangle is 13 cm and the width is 9 cm. If we substitute in these values into our equation, we get:
A = (13cm)(9cm)
A= 117 cm^2

Next, let’s find the area of the triangle, using the formula A=(1/2)bh, where b is the base of the triangle and h is the height.
The base of the triangle is 11 cm and the height of the triangle is 5 cm (found by subtracting 13-8 as seen in the figure). If we substitute in these values and simplify, we get:
A=1/2(11cm)(5cm)
A=1/2(55cm^2)
A=27.5 cm^2.

When we add together the area of the rectangle with the area of the triangle, we will get the total area of the figure.

117 cm^2 + 27.5 cm^2 = 144.5 cm^2
Your answer is 144.5 cm^2 or the first option.

Hope this helps!
8 0
3 years ago
The base of a 13 foot ladder is 5 feet away from the wall. How far up the wall does the ladder reach?
frez [133]

let x be how far up the wall ladder reaches

by Pythagoras theorem

x^2+5^2=13^2

x^2 =(13^2)-(5^2)

x= square root of 144

x= 12 or x =-12(rej,x>0)

hence ladder reaches 12 foot up the wall

5 0
3 years ago
Read 2 more answers
Please help. Thank you so much :)
Stolb23 [73]
C. 6 pens for $6.42

Divide to find the number for one pen. then multiply
5 0
3 years ago
Read 2 more answers
The given equation has no solution when C is equal to what number?<br><br> 2x+C(8+x)=16
3241004551 [841]

Answer:

-2

Step-by-step explanation:

When C=-2, the variable x will be removed from the equation (2x-2x=0). Therefore, we are left with -16\neq 16. Thus, when C=-2, the given equation has no solutions.

7 0
3 years ago
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