Question

Explain or show that the point (5,-4) is a solution to this system of equations3x - 2y =222x + 2y = 6

Answer 1

ANSWER:

The point (5, -4) is not a solution of the system of equations:

3x - 2y =22

2x + 2y = 6

STEP-BY-STEP EXPLANATION:

For the point (5, -4) to be a solution of the system, we have to replace the values of x and y in each equation and if both are true, the point is a solution of the system of equations.

We replace:

$\begin{gathered} 3\cdot(5)-2\cdot(-4)=22 \\ 15+8=22 \\ 23\ne22 \\ \\ 2\cdot(5)+2\cdot(-4)=6 \\ 10-8=6 \\ 2\ne6 \end{gathered}$