Question

solve the system of equation X + Y is equals to 6 and x minus y is equals to 2 by the method of substitution
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Answer 1

Answer:

x+y=6

y=6-x

we also have x-y=2

put value of y in above equation

x-(6-x)=2

x-6+x=2

2x-6=2

2x=8

x=4

put in any above equation

we get y=6-4=2

Answer 2

Step-by-step explanation:

$x + y = 6 \: \: \: \: \: (1) \\ \\ x - y = 2 \: \: \: \: \: (2) \\ \\ take \: equation \: (1) \\ \\ x + y = 6 \\ \\ x = 6 - y \: \: \: \: \: (3)\\ \\ now \: put \: value \: of \: x \: in \: equation \: (2) \\ \\ 6 - y - y = 2 \\ \\ 6 - 2y = 2 \\ \\ - 2y = 2 - 6 \\ \\ - 2y = - 4 \\ \\ y = 2 \\ \\ therefore \: put \: the \: value \: of \: y \: in \: equation \: (3) \\ \\ x = 6 - y \\ \\ x = 6 - 2 \\ \\ x = 4 \\ \\ hence \: the \: value \: of \: \: \\ x = 4 \: and \: \: y = 2$