Question

for each linear equation in the table, indicate weather the equation has no solution, one solution, or infinitely many solutions x-3=x+3-4x-8=4x+8

Answer 1

Given:

• x - 3 = x + 3

Let's solve the equation above

x - 3 = x + 3

x - x = 3 + 3

0 = 6

Therefore, since 0 = 6, we can say the equation has no solution.

Equation 2:

-4x - 8 = 4x + 8

Let's solve the equation.

-4x - 4x = 8 + 8

-8x = 16

Divide both sides by -8:

`\begin{gathered} (-8x)/(8)=(16)/(-8) \\ \\ x=-2 \end{gathered}`

Since x = -2, we can say the equation has one solution

ANSWER:

a) No solution

b) One solution