Answer:
They are an equivalent system and the values are x=17/37 and y=-16/37
Step-by-step explanation:
Systems of equations that have the same solution are called equivalent systems.
Given a system of two equations, we can produce an equivalent system by replacing one equation by the sum of the two equations, or by replacing an equation by a multiple of itself.
(-4)*(5x + 3y = 1) → -20x - 12y = -4
(5)*(4x − 5y = 4) → 20x - 25y =20
Add the last 2 eq → -37y= 16 → y= - 16/37
replace this value in any equation of the system.
5x + 3(-16/37) = 1 → x= (1 +48/37)/ 5 =(37/37 + 48/37)/5=(85/37)/5 = 17/37
We have x and y values. Replace this values in both equation and verify the result
5x + 3y = 1 → 85/37 -48/37 =37/37=1
4x − 5y = 4 → 68/37 + 80/37= 148/37= 4
So, in fact, they are a equivalent system
