1.

Factorize the following expression a) 7p-14q+63 ​

Answer» ONG>Step-by-step explanation:P>

Consider first your TWO initial equations forming a System:

{

7

p

+

5

q

=

2

8

p

9

q

=

17

Let us solve this system to find

p

and

q

: to solve it let us multiply the first equation by

9

, the second by

5

and ADD them together in columns:

{

9

×

7

p

+

5

q

=

2

5

×

8

p

9

q

=

17

{

63

p

+

45

q

=

18

40

p

45

q

=

85

add them:

103

p

+

0

=

103

so:

p

=

103

103

=

1

substituting into the first equation we GET:

7

+

5

q

=

2

q

=

1

Using these values of

p

and

q

into:

p

+

14

q

you get:

1

14

=

15



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