Determine whether the ordered pair is a solution of the system of equations shown below. Ordered pair $( 2,4 )$ System of equations $x - y = - 2$ $3 x + 2 y = 14$
A)No
B)Yes
C)Cannot be determined

Question

Quizplus · Accepted Answer

To check whether the ordered pair $(2,4)$ is a solution of the system, we substitute the values of $x$ and $y$ into both equations:
$$x-y=-2 \implies 2-4=-2 \qquad\text{True}$$
$$3x+2y=14 \implies 3(2)+2(4)=14 \qquad\text{True}$$
Since both equations are true with the values $x=2$ and $y=4$, the ordered pair $(2,4)$ is a solution of the system.

Determine Whether the Ordered Pair Is a Solution of the System