Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
983 views
in Complex Numbers by (44.0k points)
closed by

Solve the following equations for x, y ∈ R

(4 – 5i)x + (2 + 3i)y = 10 – 7i

1 Answer

+1 vote
by (44.1k points)
selected by
 
Best answer

(4 – 5i)x + (2 + 3i)y = 10 – 7i

(4x + 2y) + (3y – 5x) i = 10 – 7i

Equating real and imaginary parts, we get

4x + 2y= 10 i.e., 2x + y = 5 ……(i)

and 3y – 5x = -7 ……(ii)

Equation (i) × 3 – equation (ii) gives

11x = 22

∴ x = 2

Putting x = 2 in (i), we get

2(2) + y = 5

∴ y = 1

∴ x = 2 and y = 1

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

...