Given the system of linear equations. x-y=5 4x+y=10 part a: use substitution to find the solution to the systems of equations. include all of your work in your final answer. part b: algebraically verify your answer to part a. include all of your work in your final answer. part c: graphically verify your answer to part a. in your final answer, include the graph.

part a)

part b) verification in the procedure

part c) the graph in the attached figure

step-by-step explanation:

we have

> equation a

> equation b

part a)   use substitution to find the solution to the systems of equations

in the equation a isolate the variable x

  > equation c

substitute equation c in equation b

find the value of x

the solution is equal to

part b) algebraically verify your answer to part a

we have that

the solution is

verify in the equation a and in the equation b

equation a

substitute the value of x and the value of y in the equation and then compare

)=5[/tex]

> is true

equation b

substitute the value of x and the value of y in the equation and then compare

> is true

therefore

the point satisfy both equations

hence

the point is the solution of the system of equations

part c) graphically verify your answer to part a

we know that

the intersection point both graphs is the solution of the system of equations

using a graphing tool

see the attached figure

the intersection point is equal to

therefore

the point is the solution of the system of equations