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mojhsa [17]
3 years ago
15

Question in picture. ty

Mathematics
1 answer:
sleet_krkn [62]3 years ago
5 0

Answer:

input x = - 7

Step-by-step explanation:

A is modelled as y = 5x - 4

B is modelled as y = 3x + 8

We require output of A three times the output of B , then

5x - 4 = 3(3x + 8) ← distribute

5x - 4 = 9x + 24 ( subtract 9x from both sides )

- 4x - 4 = 24 ( add 4 to both sides )

- 4x = 28 ( divide both sides by - 4 )

x = - 7 ← input

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What is the solution to this system of equations? 4x + 5y = 7
Nutka1998 [239]

Answer:

(-2, 3)

Step-by-step explanation:

4x + 5y = 7

3x - 2y = -12

Let's solve this by elimination. We want to eliminate one variable at a time. This means we need to multiply the equations to create a common multiple to cancel out a variable.

Let's work with y.

5y and -2y: For these values to cancel out, we need to multiply each term to create a common multiple.

2(4x + 5y = 7)

5(3x - 2y = -12)

Multiply.

8x + 10y = 14

15x - 10y = -60

Eliminate.

23x = -46

Divide both sides by 23.

x = -2

Now that we know x, let's plug it back into one of equations to find y.

4x + 5y = 7

4(-2) + 5y = 7

Multiply.

-8 + 5y = 7

Add.

5y = 15

Divide.

y = 3

Now we know x and y; let's plug both back into the equation we have not checked yet.

3x - 2y = -12

3(-2) - 2(3) = -12

Multiply.

-6 - 6 = -12

Subtract.

-12 = -12

Your solution is correct.

(-2, 3)

Hope this helps!

8 0
3 years ago
Timed please i will pick brainliest
iragen [17]

let

x---------> Aviva’s age

y--------->Kanti’s age

z--------> Lakshmi’s age


we know that


y=x-3-----> equation 1

z=2*y-----> equation 2

substitute equation 1 in equation 2

z=2*(x-3)

so

Aviva’s age------> x

Kanti’s age-------> x-3

Lakshmi’s age----> 2*(x-3)


therefore


the answer is the option

b) 2(x-3)

6 0
4 years ago
Read 2 more answers
Expand using the identity ( 2x + 3y)^2
drek231 [11]

<em>Hi there!</em>

<em>~</em>

<em></em>( 2x + 3y)^2<em></em>

<em></em>= (2x + 3y) (2x + 3y)\\= (2x)(2x)+ (2x) (3y) + (3y)(2x) +(3y)(3y)\\=4x^2 + 6xy + 6xy + 9y^2\\= 4x^2 + 12xy + 9y^2<em></em>

<em>Answer : </em>4x^2 + 12xy + 9y^2<em></em>

<em>Hope this helped you!</em>

<em></em>

<em></em>

8 0
4 years ago
Read 2 more answers
The blue dot is at what value on the number line?
svp [43]

Answer:

-22

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Represent the espression “A number, x, decreased by the sum of 2x and 5” algebraically.
ki77a [65]
It would be X-2x+5, hope this helps
7 0
3 years ago
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