Question 128760
{{{2y = x + 1}}} Start with the second equation



{{{2*2y =2*( x + 1)}}} Multiply both sides by 2



{{{4y =2x + 2}}} Distribute and multiply




{{{3x – 4y = 0}}} Now move onto the first equation



{{{3x – (2x + 2) = 0}}} Plug in {{{4y =2x + 2}}}



{{{3x – 2x - 2 = 0}}} Distribute the negative




{{{x-2=0}}} Combine like terms on the left side



{{{x=0+2}}}Add 2 to both sides



{{{x=2}}} Combine like terms on the right side



So the first part of our answer is {{{x=2}}}


{{{2y = 2 + 1}}} Now plug in {{{x=2}}} into the second equation



{{{2y = 3}}} Add



{{{y = 3/2}}} Divide both sides by 2 to isolate y



So the second part of our answer is {{{y = 3/2}}}




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Answer:


So our solution is 


{{{x=2}}} and {{{y = 3/2}}}