Given:
" "x=y-2 x=y−2..................Equation(1)
" "3x-y=6 3x−y=6...............Equation(2)
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color(green)("Determine the value of "y)Determine the value of y
color(purple)("Method shown in great detail")Method shown in great detail
Substitute for xx in equation(2) using equation(1)
color(brown)(3x-y=6)color(blue)(" "->" "3(y-2)-y=63x−y=6 → 3(y−2)−y=6
3y-6-y=63y−6−y=6
2y-6=62y−6=6
Add 6 to both sides
2y-6+6=6+62y−6+6=6+6
2y+0=122y+0=12
Divide both sides by 2
2/2xx y=12/222×y=122
color(green)(y=6)y=6
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color(green)("Determine the value of "x)Determine the value of x
Given that y=6y=6 equation(1) becomes:
x=6-2" "........................Equation(1_a)
color(green)(x=4)
