How do you solve the following system using Cramer's rule #2x-y=3, 4x-3y=5#? Precalculus Matrix Algebra Cramer's Rule 1 Answer kubik98 Jan 6, 2018 Answer: #P={(2,1)}# Explanation: #A=([2,-1,|,3],[4,-3,|,5])# #D=detA=|[2,-1],[4,-3]|=2xx(-3)-(-1)xx4=-6+4=-2# #D_1=|[3,-1],[5,-3]|=3xx(-3)-(-1)xx5=-9+5=-4# #D_2=|[2,3],[4,5]|=2xx5-3xx4=10-12=-2# #x=D_1/D=(-4)/-2=2# #y=D_2/D=(-2)/-2=1# #P={(2,1)}# Related questions What is the purpose of Cramer's rule? How do I use Cramer's rule to solve a system of equations? How do I use Cramer's rule to solve a #2xx2# matrix? What are common mistakes students make with Cramer's rule? What is Cramer's rule? How do I use Cramer's rule to solve the system of equations #3x+4y=19# and #2x-y=9#? How do I use Cramer's rule to solve the system of equations #x+2y=-1# and #2x-3y=5#? How do I use Cramer's rule to solve the system of equations #3x-5y=-31# and #2x+y=1#? How do you solve #2x+4y=10, 6x+2y=10# using Cramer's rule? Question #dbcd6 See all questions in Cramer's Rule Impact of this question 493 views around the world You can reuse this answer Creative Commons License