### Home > INT3 > Chapter 3 > Lesson 3.1.3 > Problem3-49

3-49.

Solve each of the following systems algebraically. What do the solutions tell you about the graph of each system? Visualizing the graphs may help with your description.

1. $y=3x−5$
$y=−2x−15$

Use substitution to solve the system.

The solution to the system is $(−2,−11)$.
Describe what that tells you about the system.

If you can't visualize the system, graph both equations and look at the point $(−2,−11)$.
If it doesn't look important, check your graphs.

1. $y−7=−2x$
$4x+2y=14$

Rewrite the first equation so it's in $y$ = form. Then use substitution to solve.

See part (a).

1. $y=2(x+3)^2−5$
$y=14x+17$

Use substitution to solve the system.

The solutions to the system are $(2,45)$ and $(−1,3)$.

If you didn't get the solution given above, check to be sure you squared $(x+3)$ correctly then distributed the $2$.

If you need help with the description, refer to More Help in part (a).

1. $y=3(x−2)^2+3$
$y=6x−12$

Refer to part (c).

How many solutions did you get? What does that tell you about the graphs?