Take the value of $y$ from the second equation and plug it into the first equation $x + 2y = 14$.

After you substitute for $y$, you will get an equation with only $x$. Solve this equation, then write the ordered pair $(x,y)$.

In Desmos, it is easiest to graph equations solved for $y$. Rewrite $x + 2y = 14$ as $2y = 14 - x$, then $y = \frac{14 - x}{2}$.

In Desmos, enter the two equations on separate lines:

• $y = (14 - x)/2$
• $y = 4$

Desmos will show two lines on the coordinate plane.

Look for the point where the two lines intersect. The coordinates of this intersection give the $(x,y)$ solution to the system. Read off both the $x$- and $y$-values from that point.

The system is:

• $x + 2y = 14$
• $y = 4$

The second equation already tells you the value of $y$. So, in the solution, $y$ must be $4$.

Replace $y$ with $4$ in the first equation $x + 2y = 14$:

Now simplify $2(4)$:

Solve for $x$ by subtracting $8$ from both sides:

Thus, $x = 6$.

Write the solution in $(x,y)$ form using the values you found:

• $x = 6$
• $y = 4$

So the solution to the system is $(6,4)$.