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5 June, 10:58

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 =

+2
Answers (1)
  1. 5 June, 13:12
    0
    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
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