Question

given system of equations is: (please use Substitution) 3x+2y=44 6x−6y=18 Solve please with solutions

Answer 1

3x+2y=44

6x-6y=18

we simplify 6x-6y=18 by 6 →x-y=3

3x+2y=44

x-y=3

by substitution: x=3+y

we replace x in the 2nd equation

3(3+y)+2y=44

9+3y+2y=44

5y=44-9

5y=35

y=7

we calculate x:

x-y=3

x-7=3

x=3+7=10

solution (8;5)

we check:

3x+2y=44

3*10 + 2*7=30+14=44

6x-6y=18

6*10 -6*7=60-42=18

3x+2y=44

6x-6y=18

on simplifie 6x-6y=18 par 6 →x-y=3

3x+2y=44

x-y=3

par substitution : x=3+y

on remplace x dans la 2eme équation

3(3+y)+2y=44

9+3y+2y=44

5y=44-9

5y=35

y= 7

on calcule x :

x-y=3

x-7=3

x=3+7=10

solution (10,7)

on verifie :

3x+2y=44

3*10 + 2*7=30+14=44

6x-6y=18

6*10 -6*7=60-42=18