Question

Solve the following system of equations. 3x + 2y - 5 = 0 x = y + 10 Make sure there are NO SPACES in your answer. Include a comma in your answer.

Answer 1

the answer is (5,-5)

Explanation:

Answer 2

ANSWER

The solution to the system is


`x=5,y=-5`



EXPLANATION

The system of equations are:


`3x + 2y - 5 = 0 - - (1)`

and


`x = y + 10 - - (2)`



We put equation (2) in to equation (1) to get,


`3(y + 10) + 2y - 5 = 0`

We expand the parenthesis to obtain,



`3y + 30 + 2y - 5 = 0`

We group like terms to obtain,


`3y + 2y + 30 - 5 = 0`




`5y + 25 = 0`


This implies that,



`5y = - 25`

We divide through by 5 to get



`y = - 5`


We substitute the value of y in to equation (1) to get,

`3x + 2( -5 ) - 5 = 0`



`3x - 10- 5 = 0`



This implies that


`3x = 15`
We divide both side by 3 to get,


`x = 5`