Question

Explain or show that the point (5,-4) is a solution to this system of equations3x - 2y =232x + y = 6

Answer 1

ANSWER and EXPLANATION

To show that the point given (5, -4) is a solution to the system of equations, we have to substitute the x and y values into both equations and check if the left-hand sides are equal to the right-hand sides.

For the first equation:

$\begin{gathered} 3(5)-2(-4)=23 \\ 15+8=23 \\ 23=23 \end{gathered}$

The left and right sides are equal.

For the second equation:

$\begin{gathered} 2(5)+(-4)=6 \\ 10-4=6 \\ 6=6 \end{gathered}$

The left and right sides are equal.

Since the left and right sides of both equations are equal, then, (5,-4) is a solution to this system of equations.