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

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

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