question\nfind the solution of the system of equations.\n10x + y = 4\n-5x - 5y = 25

Answer

Explanation:

Step1: Simplify the second equation

Divide the second equation (-5x - 5y=25) by (-5). We get (x + y=- 5), which can be rewritten as (y=-x - 5).

Step2: Substitute (y) into the first equation

Substitute (y=-x - 5) into (10x + y = 4). We have (10x+(-x - 5)=4). Simplify the left - hand side: (10x-x-5 = 4), so (9x-5 = 4). Add (5) to both sides: (9x=4 + 5), then (9x=9). Divide both sides by (9): (x = 1).

Step3: Find the value of (y)

Substitute (x = 1) into (y=-x - 5). We get (y=-1-5=-6).

Answer:

(x = 1,y=-6)