Answer:
( -5 , 23) .
Step-by-step explanation:
Given : y = –3x + 8 and y = –5x – 2.
To find : What is the solution of the system of equations.
Solution : We have given
y = –3x + 8 -------(1)
y = –5x – 2 -------(2)
On plug equation 2 in equation 1.
-5x -2 = -3x + 8
Combining like terms
-5x + 3x = 8 +2 .
-2x = 10
On dividing both sides by - 2
x = -5.
Then , plug x = -5 in equation 1.
y = - 3(-5) +8.
y = 15 + 8
y = 23.
( -5 , 23) .
Therefore, ( -5 , 23) .
