Which pair shows equivalent expressions?2x+10=-2(x-5)0 -2(x+5)=2x-10-2x-10=-2(x+5)-2(x–5)=-2X=10
Accepted Solution
A:
Answer:Option 3Step-by-step explanation:We need to find a pair which shows equivalent expressions.First equation is[tex]2x+10=-2(x-5)[/tex][tex]LHS=2x+10[/tex][tex]RHS=-2(x-5)=-2(x)-2(-5)=-2x+10[/tex][tex]LHS\neq RHS[/tex]Option 1 is incorrect.Second equation is[tex]-2(x+5)=2x-10[/tex][tex]LHS=-2(x+5)=-2(x)-2(5)=-2x-10[/tex][tex]RHS=2x-10[/tex][tex]LHS\neq RHS[/tex]Option 2 is incorrect.Third equation is[tex]-2x-10=-2(x+5)[/tex][tex]LHS=-2x-10[/tex][tex]RHS=-2(x+5)=-2(x)-2(5)=-2x-10[/tex][tex]LHS=RHS[/tex]Option 3 is correct.Fourth equation is[tex]-2(x–5)=-2X-10[/tex][tex]LHS=-2(x–5)=-2(x)-2(-5)=-2x+10[/tex][tex]RHS=-2x-10[/tex][tex]LHS\neq RHS[/tex]Option 4 is incorrect.Therefore, the correct option is 3.