Question

1A. Find A and B such that (2,-3) is a solution to the following system: A x plus 7 y equals 13minus 2 x plus B y equals 5 . Explain your reasoning and show all relevant work. B. Then verify that your values for A and B work by plugging these values into the system, and solving the it using the substitution method or elimination method (your choice). Show all appropriate work.

Answer 1

Step-by-step explanation:

Given the below system of equations;

`\begin{gathered} Ax+7y=13 \\ -2x+By=5 \end{gathered}`

Since we're told that (2, -3) is a solution to the equations above, we can therefore solve for A and B by substituting x = 2 and y = -3 to each of the equations as shown below;

To find A, we'll have;

`\begin{gathered} A(2)+7(-3)=13 \\ 2A-21=13 \\ 2A=13+21 \\ A=(34)/(2) \\ A=17 \end{gathered}`

To solve for B;