How do you solve the simultaneous equations y = -2x + 10 and 3x + 5y = 8?

1 Answer
Alan P.
Jul 22, 2015

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

Explanation:

[1]color(white)("XXXX")y = -2x+10
[2]color(white)("XXXX")3x+5y = 8

Substituting (-2x+10) for y (from [1]) in [2]
[3]color(white)("XXXX")3x +5(-2x+10)=8
Simplifying
[4]color(white)("XXXX")7x = 42
[5]color(white)("XXXX")x = 6

Substituting 6 for x back in [1]
[6]color(white)("XXXX")y = -2(6)+10
[7]color(white)("XXXX")y = -2

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