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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

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

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