5x + 8 = 3x + 2
5x - 3x = 2 - 8
2x = -6
x = -6/2
x = -3
Check:
5(-3) + 8 = 3(-3) + 2
-15 + 8 = -9 + 2
-7 = -7
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3x+2 = 5x so 2x = 2 and hence x = 2/2 = 1
3x + 5x = 2x + 28x = 2x + 26x = 2x = (2/6) = 1/3
5x-2 = 3x-6 5x = 3x - 6 +2 5x = 3x - 4 5x - 3x = -4 2x = -4 x = -2
First collect like terms in the second equation: 5x - 18 = 4y - 3y ie y = 5x - 18 Substitute this for the term in y in the first equation, getting 3x + 2(5x - 18) = 16 ie 3x + 10x - 36 = 16 ie 13x = 16 + 36 so x = 4 and y = 5 x 4 - 18 ie 2.
x = 7 and 2/3