Answer:
Infinitely many solutions.
Explanation:
Let's solve your system by substitution.
2x+3y=−6;4x+6y=−12
Step: Solve2x+3y=−6for x:
2x+3y=−6
2x+3y+−3y=−6+−3y(Add -3y to both sides)
2x=−3y−6
2x/2 = −3y−6/2
(Divide both sides by 2)
x= −3/2y−3
Step: Substitute −3/2y−3 for x in 4x+6y=−12:
4x+6y=−12 4(−3/2y−3)+6y=−12
−12=−12(Simplify both sides of the equation)
−12+12=−12+12(Add 12 to both sides)
0=0
Answer:
Infinitely many solutions.