Question 154388
Take note that {{{(2x+y) + (3-5x)i =a+bi}}}. So this means that {{{a=2x+y}}} and {{{b=3-5x}}}. From the number {{{1 -7i }}}, we see that {{{a=1}}} and {{{b=-7}}}. 




{{{b=3-5x}}} Start with the second equation.



{{{-7=3-5x}}} Plug in {{{b=-7}}}.



{{{-10=-5x}}} Subtract 3 from both sides.



{{{2=x}}} Divide both sides by -5.



So the first answer is {{{x=2}}}



{{{a=2x+y}}} Move onto the first equation



{{{1=2(2)+y}}} Plug in {{{a=1}}} and {{{x=2}}}



{{{1=4+y}}} Multiply 



{{{-3=y}}} Subtract 4 from both sides.




So the first answer is {{{y=-3}}}



So the solutions are {{{x=2}}} and {{{y=-3}}}