Question

Solve the system of equation given below ,hence x+y is
2x-y=2 x+3y=15

Answer 1

Answer:

$2x-y= 2....(1)\\ \\ \\</p><p>2x+3y= 15...(2)\\ \\ \\ </p><p>2x-y= 2\\ \\ \\ </p><p>2x= 2+y\\ \\ \\ </p><p>x= \frac{(2+y)}{2}\\ \\ \\ </p><p>by\: putting\: the \: value \: of \:x\:in \: equation\:2\\ \\ \\ </p><p>x+3y= 15\\ \\ \\ </p><p>\frac{(2+y)}{2} +3y= 15\\ \\ \\ </p><p>\frac{(2+y)+(6y)}{2}= 15\\ \\ \\ </p><p>\frac{2+7y}{2}= 15\\ \\ \\ </p><p>by\: cross\: multiplication\\ \\ \\ </p><p>2+7y= 15×2\\ \\ \\ </p><p>2+7y= 30\\ \\ \\ </p><p>7y= 30-2\\ \\ \\ </p><p>7y= 28\\ \\ \\ </p><p>y= \frac{28}{7}\\ \\ \\ </p><p>y= 4$

Answer 2

Step-by-step explanation:

Given -

2x - y = 2

x + 3y = 15

To Find -

• Value of x + y

Now,

[ 2x - y = 2 ] × 3

[ x + 3y = 15 ] × 1

→ 6x - 3y = 6

x + 3y = 15

___________

→ 7x = 23

→ x = 23/7

Now, substituting the value of x on 2x - y = 2, we get :

→ 2×23/7 - y = 2

→ y = 46/7 - 2

→ y = 46-14/7

→ y = 32/7

Hence,

The value of x is 23/7 and y is 32/7

Then,

The value of x + y is

→ 23/7 + 32/7

→ 23 + 32/7

→ 55/7

Hence,

The value of x + y is 55/7