Question

What is the elimination to this solution i think its b

Answer 1

Step-by-step explanation:

To get the solution of the simultaneous equation, using the elimination method:

We will have the following steps:

Step 1:

Write the two equations:

`\begin{gathered} y=-(1)/(2)x+3 \\ y=-(7)/(2)x-3 \end{gathered}`

Step2: Subtract the two equations:

`\begin{gathered} y-y=-(1)/(2)x-(-(7)/(2)x)+3-(-3) \\ 0=-(1)/(2)x+(7)/(2)x+6 \\ \end{gathered}`

Step 3: Simplify the expression

`\begin{gathered} 0=3x+6 \\ 3x=-6 \\ x=-(6)/(3) \\ x=-2 \end{gathered}`

Step 4: Substitute x=-2 into the formula:

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

Therefore, the answer is

`(-2,4)`

Thus,

Option B is correct