Question

If 2x+3y=10 and 3x+ 2y = 15,
find the value of (x+y)​

Answer 1

Answer:

$2x + 3y = 10 \\ 3x + 2y = 15$

Adding Both Equations.. we get,

$5x + 5y = 25$

$5(x + y) = 25$

$(x + y) = \frac{25}{5}$

$(x + y) = 5$

Answer 2

2x + 3y = 10

solve for x : 2x = 10 - 3y

2x / 2 = 10 - 3y / 2

x = 10 - 3y / 2

x = - 3y / 2 + 5

solve for y : 3y = 10 - 2x

3y / 3 = 10 - 2x / 3

y = 10 - 2x / 3

3x + 2y = 15

solve for x : 3x = 15 - 2y

3x / 3 = 15 - 2y / 3

x = 15 - 2y / 3

x = - 2y / 5 + 3

solve for y : 2y = 15 - 3x

2y / 2 = 15 - 3x / 2

y = 15 - 3x / 2