Question

If 4x+2y=16 and 6x-2y=4 find the value of (x+y)

Answer 1

Step-by-step explanation:

$4x + 2y = 16 \\ + 6x - 2y = 4 \\ = 10x = 20 \\ x = 2 \\ put \: in \: 4x + 2y = 16 \\ 4(2) + 2y = 16 \\ 8 + 2y = 16 \\ 2y = 8 \\ y = 4 \\ x + y = 2 + 4 = 6$

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Answer 2

Answer:

Step-by-step explanation:

4x +2y = 16

6x - 2y = 4

=10x = 20

Divide both sides by 10

$\frac{10x}{10\\}$ = $\frac{20}{10}$

x=2

Substitute x=2 for x in the equation 4x + 2y = 16

4(2) +2y = 16

8 + 2y = 16

2y = 16 - 8

2y = 8

Divide both sides by 2

$\frac{2x}{2\\}$ = $\frac{8}{2}$

x = 4

x + y = 2 + 4

= 6