Question

3x+2y=80,4x+3y=110 two methods
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Answer 1

Answer:

:

[1] 3x + 2y = 80

[2] 4x + 3y = 110

Step-by-step explanation:

Solve equation [2] for the variable y

[2] 3y = -4x + 110

[2] y = -4x/3 + 110/3

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

[1] 3x + 2•(-4x/3+110/3) = 80

[1] x/3 = 20/3

[1] x = 20

// Solve equation [1] for the variable x

[1] x = 20

// By now we know this much :

x = 20

y = -4x/3+110/3

// Use the x value to solve for y

y = -(4/3)(20)+110/3 = 10

Solution :

{x,y} = {20,10}