Verified Answer :

Cupcake71

3x + 4y = 31
2x - 4y = -6

The +4 and -4 in the center of the equation cancel out because 4-4 = 0

3x = 31
2x = -6
------------

add like terms

3x + 2x = 5x

31 - 6 = 25

So now you should have this written on your paper ... > 5x = 25

Divide by 5 on each side

5x = 25
_      _
5      5

x = 5

Answer:

x = 5 and y = 4

Step-by-step explanation:

In elimination method we solve a system of two variable equations by eliminating one variable by operating the equations.

Given system of equations,

3x + 4y = 31  ------(1)

2x - 4y = -6 --------(2),

Equation (1) + equation (2),

3x + 2x = 31 - 6

5x = 25

x = 5

From equation (1),

3(5) + 4y = 31

15 + 4y = 31

4y = 16

y = 4

Hence, the solution of the given equations is, x = 5, y = 4

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