How do you find the values of m and n that make the equation #(2m-3n)i+(m+4n)=13+7i# true? Precalculus Complex Numbers in Trigonometric Form Complex Number Plane 1 Answer Cesareo R. Mar 1, 2017 #m =67/11, n = 19/11 # Explanation: #(2m-3n)i+(m+4n)=13+7i->(2m-3n-7)i+(m+4n-13)=0i+0# #{(2m-3n-7=0),(m+4n-13=0):}# now solving for #m,n# we have #m =67/11, n = 19/11 # Answer link Related questions What is the complex number plane? Which vectors define the complex number plane? What is the modulus of a complex number? How do I graph the complex number #3+4i# in the complex plane? How do I graph the complex number #2-3i# in the complex plane? How do I graph the complex number #-4+2i# in the complex plane? How do I graph the number 3 in the complex number plane? How do I graph the number #4i# in the complex number plane? How do I use graphing in the complex plane to add #2+4i# and #5+3i#? How do I use graphing in the complex plane to subtract #3+4i# from #-2+2i#? See all questions in Complex Number Plane Impact of this question 2152 views around the world You can reuse this answer Creative Commons License