Question

Does the ordered pair (0,3) satisfy the following system of equations?-4x+4y=20-3x+4y=15

Answer 1

We are given the following system of equations:

`\begin{gathered} -4x+4y=20,(1) \\ -3x+4y=15,(2) \end{gathered}`

we are asked to determine if the point (0, 3) is a solution of the equation. To do that, we will replace the points x = 0 and y = 3 in each of the equations to see if they are both satisfied:

Replacing in equation (1):

`\begin{gathered} -4(0)+4(3)=20 \\ 0+12=20 \\ 12\\e20 \end{gathered}`

Since equation (1) is not satisfied by the point this means that this is not a solution.