MATH SOLVE

3 months ago

Q:
# 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 =

Accepted Solution

A:

1. 5m+3n=41

3m-6n=9 (multiplying the first equation by 3 and the second by 5), we get;

15m+9n=123

15m-30n= 45 (subtracting the two equations)

39n = 78

n = 2, and

to get m we substitute n with 2

3m = 9+6(2)

3m = 21

m = 7

Therefore, n=2 and m=7

2. 6g +8h=40

-6g +2h = -20(Adding the two equations to eliminate g)

10 h= 20

h =2

to get g we substitute h with two

6g= 40- 8(2)

= 24

g= 4

Therefore, g =4 and h =2

3. 9x +5y =35

2x + 5y =0 (subtracting the two equations to eliminate y)

7x =35

x= 5

To get y we substitute x with 5

5y=35-9(5)

5y = -10

y = -2

Therefore, x=5 and y=-2

3m-6n=9 (multiplying the first equation by 3 and the second by 5), we get;

15m+9n=123

15m-30n= 45 (subtracting the two equations)

39n = 78

n = 2, and

to get m we substitute n with 2

3m = 9+6(2)

3m = 21

m = 7

Therefore, n=2 and m=7

2. 6g +8h=40

-6g +2h = -20(Adding the two equations to eliminate g)

10 h= 20

h =2

to get g we substitute h with two

6g= 40- 8(2)

= 24

g= 4

Therefore, g =4 and h =2

3. 9x +5y =35

2x + 5y =0 (subtracting the two equations to eliminate y)

7x =35

x= 5

To get y we substitute x with 5

5y=35-9(5)

5y = -10

y = -2

Therefore, x=5 and y=-2