Question

himpunan penyelesaian dari sistem persamaan 5p + q =10 , 14p+3a=18 menggunakan metode substitusi adalah.....

plisss help mee ​

Answer 1

Verified answer

Jawab:

p = 12, q = -58

Penjelasan dengan langkah-langkah:

First, we'll solve for one variable in one equation and substitute it into the other equation.

Starting with the first equation:

5p + q = 10

q = 10 - 5p

Next, substitute this expression for q into the second equation:

14p + 3q = 18

14p + 3(10 - 5p) = 18

14p + 30 - 15p = 18

-p = -12

p = 12

Finally, use the value of p to find the value of q:

q = 10 - 5p

q = 10 - 5 * 12

q = -58

So the solution set is:

p = 12, q = -58