Question

substitution method
x-3y=-11
3x+5y=-5

Answer 1

x-3y=-11 ---> times -3 ---> -3x +9y =33
3x+5y=-5 ---> add this equation to it ----> 3x +5y =-5
-------------
0x +14y = 28
14y=28
y=2

solve for x by plugging in y,

x-3y=-11
x-3(2)=-11
x-6=-11
x-6+6=-11=6
x=-5

CHECK:
(-5)-3(2)=-11
3(-5)+5(2)=-5

-5-6=-11
-15+10=-5

-11=-11
-5=-5

CORRECT:
x=-5 y=2 or (-5,2)

Answer 2

thank you :)

Answer 3

Didn't see "by substitution method"

Answer 4

x-3y=-11 ------> x=3y-11 substitute this to any of the two eqn systems.
3x+5y=-5

3(3y-11)+5y = -5

9y-33+5y = -5

9y+5y-33 = -5

14y -33 = -5 (opposite +33)

14y = 33-5

14y = 28

y= 2

Now, you do the rest...

Answer 5

You plug the y=2 value in the system...

Answer 6

to get the x-value(s)

Answer 7

thank you amigatour

Answer 8

yw.