Question

what is the value of the x variable in the solution to the following system of equations? 4x − 3y = 3 5x − 4y = 3 x can be any number as there are infinitely many solutions to this system there is no x value as there is no solution to this system −3 3

Answer 1

4x - 3y = 3...multiply by 4
5x - 4y = 3...multiply by -3
--------------
16x - 12y = 12 (result of multiplying by 4)
-15x + 12y = - 9 (result of multiplying by -3)
---------------add
x = 3

4x - 3y = 3
4(3) - 3y = 3
12 - 3y = 3
-3y = 3 - 12
-3y = - 9
y = -9/-3
y = 3

solution is (3,3).....and the x = 3