Solve by graphing.
x plus y
equals
minus6
5 x minus 3 y
equals
10
Question content area bottom left
Part 1
Use the graphing tool to graph the system.

.
.
.
Question content area right
Part 1
-10
-8
-6
-4
-2
2
4
6
8
10
-10
-8
-6
-4
-2
2
4
6
8
10
x
y




The intersection point of the two lines is \((-1, -5)\). This means the solution to the system of equations is \(x = -1\) and \(y = -5\).

### Would you like more details or have any questions?

Here are 5 related questions:

1. How do you determine the slope and intercept of a line from its equation?
2. Can you solve the system of equations algebraically instead of graphically?
3. How would the graph change if the coefficients of \(x\) and \(y\) were multiplied by a constant?
4. What does it mean if two lines on a graph do not intersect?
5. How can you check if a given point is a solution to both equations in the system?

**Tip:** When graphing a system of equations, always start by identifying key points like intercepts and slopes to make the graphing easier.

Solve by graphing.
x + y = -6
5x - 3y = 10
Use the graphing tool to graph the system.

Learn how to solve the system of linear equations x + y = -6 and 5x - 3y = 10 by graphing. This step-by-step guide explains key algebra concepts, including finding the slope and intercepts, graphing the lines, and identifying the intersection point as the solution. Suitable for students in Grades 9-12.

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