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

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,

$x = 5$

Answer 2

Answer:

the answer is (5,-5)

Step-by-step explanation: