A system of linear equations is shown below. 2x – 3y = 17 –3x + y = –1 Choose a method (Elimination or Substitution) to solve the system of equations. Solve and explain your process. Academic Language: Elimination, Substitution, Graphing, Intersection, Solution, Coordinate Point, Ordered Pair, Solve, Isolate, Systems, Equations, Additive Inverse, Multiplicative Inverse, Distributive Property, Variable, Combine Like Terms, and Justify.

The value of the variable x is -2 and the value of the variable y is -7.

Step-by-step explanation:

The substitution method consists of:

In this case,  you have the system of equations:

Isolating the variable y from the second equation:

y= -1 +3*x

Replacing this expression in the first equation:

2*x-3*( -1 +3*x)= 17

Solving:

2*x -3*(-1)-3*3*x= 17

2*x +3 -9*x= 17

2*x -9*x= 17 -3

(-7)*x= 14

x= 14÷(-7)

x= -2

Now, replacing the value of x in the expression y = -1 + 3 * x you get:

y= -1 +3*(-2)

Solving:

y= -1 -6

y= -7

So, the value of the variable x is -2 and the value of the variable y is -7.

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