Question 911630


{{{3x=5y+2}}}

to find the ordered pairs that are both solutions of the given equation, you can simply plug in given values for {{{x}}} and {{{y}}} and check for which pair equation is true:

A)(5,3) and (4 ,2)

{{{3x=5y+2}}}=>{{{3*5=5*3+2}}}=>{{{15<>17}}} ..... not solution, and we don't need to check (4 ,2) because we need pairs that are both solutions 

B)(0,-1) and (-6,-4)

{{{3x=5y+2}}}=>{{{3*0 =5*(-1)+2}}}=>{{{0<>-3}}}........ not solution 

C)(1,1/5)and (4,2)

{{{3x=5y+2}}}=>{{{3*1 =cross(5)*(1/cross(5))+2}}}=>{{{3=1+2}}}=>{{{3=3}}}........ this pair IS a solution

{{{3x=5y+2}}}=>{{{3*4 =5*2+2}}}=>{{{12=10+2}}}=>{{{12=12}}}........ this pair IS a solution

so, {{{C}}} is your answer

D)(0,1) and (-6,4)