Question

What is the solution to the system of equations in the graph?A. There are no solutionsB. There are infinitely many solutionsC. (3, 7)D. (7, 3)

Answer 1

Given the system of equations in the graph below:

`\begin{bmatrix}x+y=3 \\ x+y=7\end{bmatrix}`

Isolate x for : x+y=3

`y=3-x`

substitue y = 3 - x

`\begin{gathered} \begin{bmatrix}3-y+y=7\end{bmatrix} \\ 3=7 \end{gathered}`

Therefore there are no solutions:

Hence the correct answer is Option A