Question

Find a solution to the following system of equations.
-5x+y=-5
-4x+2y=2

Answer 1

-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

Answer 2

Hence, the solution to the system of equations is:

x=2 and y=5

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