Answer:
4x − 5y = 2
13x − 8y = 26
Explanation:
The equivalent system must have the same solution as the given system of equations:
4x − 5y = 2
3x − y = 8
Here we have that:
y = 3x - 8
4x - 5y = 2
4x - 5(3x - 8) = 2
4x - 15x + 40 = 2
-11x = -38
Now, we have to verify which of these systems have this answer:
4x − 5y = 2
13x − 8y = 4
13x - 8y = 4
4x − 5y = 2
10x + 3y = 15
10x + 3y = 15
4x − 5y = 2
13x − 8y = 26
4x - 5y = 2
13x - 8y = 26
This is the correct answer
So this is the correct answer
4x − 5y = 2
7x + 6y = 10