What is the solution set of the following system of equations?

5x - 3y - 10 = 0
x + y - 7 = 0

{(31/8, 25/8)}
{(25/8, 31/8)}
{(45/2, 31/2)}
{(31/2, 45/2)}

(31/8,  25/8)  

Step-by-step explanation:

We can do this using the Elimination Method.

Try eliminating y

(5x - 3y - 10   =  0  )

3* (x + y - 7)   =  3* 0

3x + 3y - 21  =  0

Add the two equations now.

5x  - 3y  -  10   + 3x + 3y - 21 =  0  +  0

5x + 3x  - 3y + 3y  - 10 - 21 = 0

8x  -31 = 0

8x = 31

x = 31/8

Next we find y  by plugging in for x in x + y - 7 = 0

(31/8) + y - 7 =0

y = 7  - 31/8

y = 56/8 - 31/8

y = 25/8

answer: 21$

step-by-step explanation:

$42 / $14 = 3   (ratio 3: 1)

$7 x 3 = $21