Question

resolver por sustitucion

5x+2y=1
-3x+2y=5

Answer 1

5x+2y=1
-3x+2y=5

5x=1-2y
x=1-2y/5

-3(1-2y/5)+2y=5
-3+6y/5+2y=5
-3+6y+10y/5=5
-3+6y+10y=25
16y=25+3
16y=28
y=28/16=14/8=7/4

x=1-2y/5
x=1-2(7/4)/5
x=1-14/4 /5
x=1-7/2 /5
x=2-7/2 /5
x=-5/2 /5
x=-5/10
x=-1/2

comprobación:
5x+2y=1
5(-1/2)+2(7/4)=1
-5/2+14/4=1
-5/2+7/2=1
2/2=1
1=1

-3x+2y=5
-3(-1/2)+2(7/4)=5
3/2+14/4=5
3/2+7/2=5
10/2=5
5=5