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$2x+y=3$

MultEqn$LHS⋅(-2)=RHS⋅(-2)$

$-2(2x+y)=-2⋅3$

DistrDistribute $(-2)$

$-4x−2y=-2⋅3$

MultiplyMultiply

$-4x−2y=-6$

$2x+y=3$

Substitute$y=-3$

$2x+(-3)=3$

AddNeg$a+(-b)=a−b$

$2x−3=3$

AddEqn$LHS+3=RHS+3$

$2x=6$

DivEqn$LHS/2=RHS/2$

$x=3$

b

$2x−5y=-8$

MultEqn$LHS⋅(-2)=RHS⋅(-2)$

$-2(2x−5y)=-2(-8)$

DistrDistribute $(-2)$

$-4x+10y=-2(-8)$

MultNegNegOnePar$-a(-b)=a⋅b$

$-4x+10y=16$

$4x−3y=-2$

Substitute$y=2$

$4x−3⋅2=-2$

MultiplyMultiply

$4x−6=-2$

AddEqn$LHS+4=RHS+4$

$4x=4$

DivEqn$LHS/4=RHS/4$

$x=1$