Solve the system of equations using the substitution method.{2x+8y=4x=−3y+5x=y=Solve the system of equations using the linear combination method.{5m+3n=413m−6n=9Enter your answers in the boxes.m = n = Solve the system of equations using the linear combination method.{6g+8h=40−6g+2h=−20Enter your answers in the boxes.g = h = Solve the system of equations using the linear combination method.{9x+5y=352x+5y=0Enter your answers in the boxes.x = y =

1) Solve the system of equations using the substitution method.

2x+8y=4
x=−3y+5
we have that
2(−3y+5)+8y=4---------- > -6y+10+8y=4---------- > 2y=-6-----> y=-3
x=−3y+5----------> x=−3*(-3)+5=14

the answer is 
x=14
y=-3

2 Solve the system of equations using the linear combination method.

5m+3n=41---------- > 2*[5m+3n=41]---------------- > 10m+6n=82
3m−6n=9-------------------------------------------------- >  3m−6n=9
                                                                             ---------------------
                                                                               13m+0n=91
m=91/13=7
3m−6n=9--------------- > 3*7−6n=9----------- >21-9=6n-----------> n=2

the answer is 
m=7
n=2

3. Solve the system of equations using the linear combination method.

  6g+8h=40
−6g+2h=−20
------------------
0+10h=20------------- > h=2
 6g+8h=40--- >  6g+8*2=40-> 6g=24-> g=4

the answer is 
h=2
g=4

4. Solve the system of equations using the linear combination method.

9x+5y=35------------- > -1*[9x+5y=35]--------> -9x-5y=-35
2x+5y=0-------------------------------------------- >  2x+5y=0
                                                                      ----------------------
                                                                        -7x+0=-35
x=5
9x+5y=35- > 9*5+5y=35---- > 5y=-10--------- > y=-2

the answer is 
x=5
y=-2