Question

{4x-y=5
{x+y=5

HELP PLEASE!!!

Answer 1

Explanation:

the easiest way to solve such a system of 2 equations is very often to multiply one equating by a certain constant and then add both equations, so that one variable is eliminated.

in our case we don't need to multiply with anything. we can simply add :

4x - y = 5

x + y = 5

-----------------

5x 0 = 10

x = 10/5 = 2

x + y = 5

2 + y = 5

y = 5 - 2 = 3

so, our solution is

x = 2

y = 3

Answer 2

(2, 3 )

Explanation:

4x - y = 5 → (1)

x + y = 5 ( subtract y from both sides )

x = 5 - y → (2)

substitute x = 5 - y into (1)

4(5 - y) - y = 5

20 - 4y - y = 5

20 - 5y = 5 ( subtract 20 from both sides )

- 5y = - 15 ( divide both sides by - 5 )

y = 3

substitute y = 3 into (2)

x = 5 - y = 5 - 3 = 2

solution is (2, 3 )