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zhuklara [117]
3 years ago
6

Solve the system of equations by substitution. What is the product of x and y from the solution? 2x + 3y = 12 5x − y = 13

Mathematics
1 answer:
Darina [25.2K]3 years ago
5 0

2x + 3y = 12 (1st)

5x − y = 13 (2nd) ---> y = 5x - 13


Substitute y = 5x - 13 into (1st) equation


2x + 3(5x - 13) = 12

2x + 15x - 39 = 12

17x - 39 = 12

17x = 51

x = 3


substitute x = 7 into y = 5x - 13

y = 5x - 13

y = 5(3) - 13

y = 15 - 13

y = 2


Answer

solution x = 3 and y = 2



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The factorization of \rm 125x^9 + 64 is  \rm (5x^3 + 4)(25x^6 - 20x^3 +16).

<h3>Factorization;</h3>

Factorization is nothing but writing a number as the product of smaller numbers.

Given

Polynomial; \rm 125x^9 + 64

To find the factorization the polynomial equates the equation with zero following all the steps given below.

Then,

The factor of the polynomial is;

\rm= 125x^9 + 64\\\\= 125x^9 -100x^6+80x^3+100x^6-80x^3+64 \\\\ =5x^3(25x^6 - 20x^3 +16) +4(25x^6 - 20x^3 +16) \\\\=(5x^3 + 4)(25x^6 - 20x^3 +16)

Hence, the factorization of \rm 125x^9 + 64 is  \rm (5x^3 + 4)(25x^6 - 20x^3 +16).

To know more about factorization click the link given below.

brainly.com/question/17595467

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Alinara [238K]

Answer:

just one.. so A

Step-by-step explanation:

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