Question

For the following system of linear equations, find A and B such that x=3,y=1 is a solution. Ax+3By=-2 -5Ax+By=-14

Answer 1

To find the values of A and B, substitute the given values of x=3 and y=1 into the system of linear equations and solve for A and B.

Step-by-step explanation:

To find the values of A and B, we can substitute the given values of x=3 and y=1 into the system of linear equations and solve for A and B.

1. Substitute x=3 and y=1 into the first equation:

• A(3) + 3B(1) = -2
• 3A + 3B = -2

Substitute x=3 and y=1 into the second equation:

• -5A(3) + B(1) = -14
• -15A + B = -14

Now we have a system of two equations with two variables. Solve this system of equations using any method such as substitution, elimination, or matrices.The solution to the system is A = -1.1 and B = -1.3.