Answer:
This system of equations has no solutions
Step-by-step explanation:
in the linear equations, if the variable is disappeared, and
- The two sides of the equation are equal, then the equation has infinitely many solutions
- The two sides of the equation are not equal, then the equation has no solutions
Let us solve the question
∵ x = 2y ⇒ (1)
∵ 6y - 3x = 18 ⇒ (2)
→ Substitute x in equation (2) by the value of x in equation (1)
∵ 6y - 3(2y) = 18
∴ 6y - 6y = 18
∴ 0 = 18
→ 0 can not equal 18
∴ Left hand side ≠ Right hand side
→ From the 2nd note above
∴ This system of equations has no solutions
