Question

solve : 3x+y=15
2x-y=5​

Answer 1

3x+y=15 /2x-y=5

x-2y=3

x-y =3/2

Answer 2

The value of x is 4 and the value of y is 3.

Given,

3x+y=15, 2x-y=5​

To Find,

Solve and find the values of x and y.

Solution,

We can solve the question as follows:

It is asked that we have to solve the two equations. The equations are:

$3x + y = 15$       ---------- (1)

$2x - y = 5$         ---------- (2)

From equation (1),

$3x + y = 15$      

Taking 3x to the other side,

$y = 15 - 3x$        ----------- (3)

Now, we will substitute y = 15 - 3x in equation (2),

$2x - y = 5$

$2x - (15 - 3x) = 5$

$2x - 15 + 3x = 5$

$2x + 3x = 5 + 15$

$5x = 20$

$x = \frac{20}{5} = 4$

Substituting x = 4 in equation (3),

$y = 15 - 3*4$

$y = 15 - 12 = 3$

Hence, the value of x is 4 and the value of y is 3.