Question

Solve the system of equations using the substitution method.

Answer 1

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

Answer 2

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