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Step-by-step explanation:

Let's solve your system by substitution.

3x−2y=7;y=x+2

Rewrite equations:

y=x+2;3x−2y=7

Step: Solvey=x+2for y:

y=x+2

Step: Substitutex+2foryin3x−2y=7:

3x−2y=7

3x−2(x+2)=7

x−4=7(Simplify both sides of the equation)

x−4+4=7+4(Add 4 to both sides)

x=11

Step: Substitute11forxiny=x+2:

y=x+2

y=11+2

y=13(Simplify both sides of the equation)

x=11 and y=13

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