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CRITICAL THINKING Without solving, explain why the two systems shown have the same solution. Select any reasons that
apply.
System 1
3x-2y=8 Equation 1
x+y=6
Equation 2
System 2
5x = 20
x+y=6
Equation 3
Equation 2
Equation 1 can be rewritten as Equation 3 by adding 2(x+y) to the left and 2(6) to the right of Equation 1.
Equation 2 can be rewritten as Equation 3 by adding 2(x+y) to the left and 2(6) to the right of Equation 2.
Equation 3 can be rewritten as Equation 1 by adding 2(x+y) to the left and 2(6) to the right of Equation 3.
Equation 1 can be rewritten as Equation 3 by subtracting 2(x+y) from the left and 2(6) from the right of Equation 1.
Equation 3 can be rewritten as Equation 1 by subtracting 2(x+y) from the left and 2(6) from the right of Equation 3.
Equation 2 can be rewritten as Equation 3 by subtracting 2(x+y) from the left and 2(6) from the right of Equation 2.