Question

solve the pair of linear equation 2x+y=10 and x-y=2​

Answer 1

2x+y=10

x-y=2

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Put both in slope intercept form:

y = -2x + 10

y = x - 2

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Plot a couple of points for each one and draw a line thru each pair.

y = -2x +10

If x=0, y = 10 giving you point (0,10)

If x=1, y = 8 giving you point (1,8)

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Y = x -2

If x = 0, y = -2 giving you point (0,-2)

If x = 1, y = -1 giving you point (1,-1)

Answer 2

Elimination method

$2x + y = 10 - - - - - (1) \\ x + y = 2 - - - - - - (2) \\ \\ equation \: (1) \: and \: (2) \: by \: subtracting \\ \\ 2x + y = 10 \\ \frac{ + x + y = 2}{x \: \: \: \: \: \: \: \: \: = 8} \\ \\ x = 8 \: put \: in \: equation \: (1) \\ \\ 2(8) + y = 10 \\ 16 + y = 10 \\ y = 10 - 16 \\ y = - 6$

x=8; y= -6

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