Question

How many solutions does this system of equations have? Use either the substitution method or the elimination method. −2x + 4y = 4−2x + 4y = 4 x − 2y = 6x − 2y = 6 exactly one solution no solution infinitely many solutions

Answer 1

-2x+4y=4 Equation 1
x-2y=6 Equation 2
Solving by substitution method.
Isolate x from equation 2.
x=2y+6
Substitute value of x in equation 1
-2(2y+6)+4y=4
-4y-12+4y=4
-12=4
-16=0
Which is false.

Answer: No solution