Question

3x+7y=2 6x-5y=4 solve the following simultaneous equations by elimination method

Answer 1

Answer:

1] 3x + 7y = 2

[2] 6x - 5y = 4

Graphic Representation of the Equations :

7y + 3x = 2 -5y + 6x = 4

Solve by Substitution :

// Solve equation [2] for the variable x

[2] 6x = 5y + 4

[2] x = 5y/6 + 2/3

// Plug this in for variable x in equation [1]

[1] 3•(5y/6+2/3) + 7y = 2

[1] 19y/2 = 0

[1] 19y = 0

// Solve equation [1] for the variable y

[1] 19y = 0

[1] y = 0

// By now we know this much :

x = 5y/6+2/3

y = 0

// Use the y value to solve for x

x = (5/6)(-0/32764)+2/3 = 2/3

Solution :

{x,y} = {2/3}

Step-by-step explanation:

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