Question

What is the value of the x variable in the solution to the following system of equations?

4x − 3y = 3
5x − 4y = 3 (5 points)

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

since boh equal 3, set each to each other
4x-3y=5x-4y
minus 4x both sides
-3y=x-4y
add 4y to both sides
y=x
now sub that
4x-3y=3
4x-3x=3
x=3
x=y
y=3

x=3=y

the solution is (3,3)

Answer 2

I hope this helps you