Question

7x + 8y = 25 9x + 10y =35 elimination method please​

Answer 1

`7x +8y = 25 ~~~....(i)\\\\9x +10y = 35~~~ ....(ii)\\\\\text{Multiply equation (ii) by}~ \frac 79 ~ \text{and do (ii) - (i):}\\\\\frac 79 (9x +10y) - (7x +8y) = \frac 79 (35) - 25\\\\\\\implies 7x +\frac{70y}9 - 7x -8y = \frac{245}9 -25\\\\\\\implies - \frac{2y}9 = \frac{20}9\\\\\\\implies -2y =20\\\\\implies y =-10\\\\\text{Substitute}~ y = -10~ \text{in equation (i):}\\\\\\7x +8(-10) = 25\\\\\implies 7x = 25 +80\\\\\implies 7x = 105 \\\\\implies x =15\\\\`

`\\\text{Hence}~ (x,y) = (15,-10)`