Respuesta :
-5x + y = 5 . . . . . (1)
-4x + 2y = 2 . . . . (2)
(1) x 2 => -10x + 2y = 10 . . . (3)
(2) - (1) => 6x = -10 => x = -8/6 = -4/3
From (1), -5(-4/3) + y = 5 => y = 5 - 20/3 = -5/3
Therefore, x = -4/3; y = -5/3
-4x + 2y = 2 . . . . (2)
(1) x 2 => -10x + 2y = 10 . . . (3)
(2) - (1) => 6x = -10 => x = -8/6 = -4/3
From (1), -5(-4/3) + y = 5 => y = 5 - 20/3 = -5/3
Therefore, x = -4/3; y = -5/3
Answer:
Hence, the solution to the system of equations is:
x=2 and y=5
Step-by-step explanation:
We have to find the solution of system of linear equations:
-5x+y=-5 -----(1)
-4x+2y=2--------(2)
we will solve the system of method of substitution as:
from equation (1) we have:
y= -5+5x----------(3)
on using equation 2 we have:
-4x+2(-5+5x)=2
-4x-10+10x=2
on combining the like terms we have:
-4x+10x=2+10
6x=12
x=2 ( since on dividing both side of the equation by 6)
Hence, x=2 now on putting this value of x in equation (3) we get:
y=-5+5×2= -5+10
y=5
Hence, the solution to the system of equations is:
x=2 and y=5