Question

Solve the system of linear equations using graphing method: 2x - 3 = y, 4x - 6 = 2y.Infinite number of solutionsNo solutionUnique solutionAll of the above

Answer 1

Step-by-step explanation:

The equations are given below as

`\begin{gathered} 2x-3=y-----(1) \\ 4x-6=2y-----(2) \end{gathered}`

Step 1:

Substitute equation (1) in equation (2)

`\begin{gathered} 4x-6=2y \\ 4x-6=2(2x-3) \\ 4x-6=4x-6 \\ collect\text{ similar terms, we will have} \\ 4x-4x=-6+6 \\ 0=0 \end{gathered}`

Note:

If you solve this your answer would be 0=0 this means the problem has an infinite number of solutions.

Hence,

The final answer is INFINITE NUMBER OF SOLUTIONS