Solve the system of equations using the substitution method. {2x+8y=4 x=−3y+5 x= y= solve the system of equations using the linear combination method. {5m+3n=41 3m−6n=9 enter your answers in the boxes. m = n = solve the system of equations using the linear combination method. {6g+8h=40 −6g+2h=−20 enter your answers in the boxes. g = h = solve the system of equations using the linear combination method. {9x+5y=35 2x+5y=0 enter 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