Solve the system of equations using the substitution method. Show your work and be sure to include the solution to the system.

Answer:

Is that simultaneous equation

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The solution of system of equations y=x-1 , 2x+y=8 are x=3 and y=2 which we get by substitution method.

Two or more expressions with an Equal sign is called as Equation.

The given system of equations are

y=x-1 ...(1)

2x+y=8...(2)

By using substitution method we solve the value of x and y.

Substitute y value in equation (2)

2x+x-1=8

Combine the like terms

3x-1=8

Add 1 on both sides

3x=9

Divide both sides by 3

x=3

Now plug in x value in y equation.

y=3-1

y=2

Hence, the solution of system of equations y=x-1 , 2x+y=8 are x=3 and y=2 which we get by substitution method.

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