Solve the following simultaneous equations
a) 49x – 57y = 172; 57x – 49y = 252 (elimination method)
b) 3x + 2y = 29; 5

By Maya

Solve the following simultaneous equations
a) 49x – 57y = 172; 57x – 49y = 252 (elimination method)
b) 3x + 2y = 29; 5 – y = 18 (substitution method)
c) 3x – y = 2; 2x – y = 3 (graphically)
d) y + 2x – 19 = 0; 2x – 3y + 3 = 0 (cramer’s rule)

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Maya

2 thoughts on “Solve the following simultaneous equations<br /> a) 49x – 57y = 172; 57x – 49y = 252 (elimination method)<br /> b) 3x + 2y = 29; 5”

  1. Step-by-step explanation:

    Given :-

    2x² – 4x + 5

    To Find :-

    1/α + 1/β

    (α – β)²

    Solution :-

    We know that

    Sum of zeroes = -b/a

    Here

    b = -4

    a = 2

    -(-4)/2

    4/2

    2/1

    2

    Product of zeroes = c/a

    c = 5

    a = 2

    5/2

    Now

    1/α + 1/β = α + β/αβ

    = 2/(5/2)

    = 2/5 × 2/1

    = 4/5

    b)

    We know that

    (α – β)² = (α + β)² – 4αβ

    (2)² – 4(5/2)

    4 – 20/2

    8 – 20/2

    -12/2

    -6

    Reply

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