Question

solve equation 7x-y=15 and 3x-2y=19

Answer 1

hope it helps........☺

Answer 2

Given,

Two equations:

7x - y = 15,

3x - 2y = 19.

To find,

Solution of the given equations.

Solution,

There are different methods to solve linear equations, such as graphical method, substitution, elimination, etc.

Here, the given pair of equations is,

7x - y = 15     ...(1)

3x - 2y = 19     ...(2)

This can be solved simply by using the substitution method.

It can be seen that, from equation (1),

y = 7x - 15     ...(3)

Substituting this value of 'y' in equation (2), we get,

3x - 2(7x - 15) = 19

3x - 14x + 30 = 19

-11x + 30 = 19

Rearranging and simplifying,

11x = 30 - 19

⇒ 11x = 11

⇒ x = 1.

Putting this value, x = 1 in equation (3), we can find 'y' as follows.

y = 7x - 15 = 7(1) - 15

⇒ y = 7 - 15

⇒ y = -8.

Therefore, the solution of the given equations will be x = 1, and y = -8.