Question 1084946

3(x+8)=6(y+4)
17y -37 = 3x +7
<pre>3(x + 8) = 6(y  + 4)_____x + 8 = 2(y + 4)_____x + 8 = 2y + 8_____x = 2y ------- eq (i)
17y - 37 = 3x + 7_____3x - 17y = - 44 ------- eq (ii)
3(2y) - 17y = - 44 ------ Substituting 2y for x in eq (ii)
6y - 17y = - 44
- 11y = - 44
{{{highlight_green(matrix(1,5, y, "=", (- 44)/(- 11), or, 4))}}}
x = 2(4) ----- Substituting 4 for y in eq (i)
{{{highlight_green(matrix(1,3, x, "=", 8))}}}