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Solve this system of linear equations by graphing:

3y + 4x = 3
x + 3y = -6
A. x = 3/4, y = 1
B. x = -6, y = 2
C. x = -3, y = 3/4
D. x = 2, y = -6

User Sagar
by
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1 Answer

6 votes

Final answer:

To solve this system of linear equations by graphing, plot the graphs for each equation and find the point of intersection.

Step-by-step explanation:

To solve this system of linear equations by graphing, we need to graph each equation and find the point of intersection.

First, we graph the equation 3y + 4x = 3:

Solve for y:

3y = -4x + 3

y = (-4/3)x + 1

Plot points:

When x = 0, y = 1

When x = 3, y = -1

Draw the line passing through these two points.

Next, we graph the equation x + 3y = -6:

Solve for y:

3y = -x - 6

y = (-1/3)x - 2

Plot points:

When x = 0, y = -2

When x = -3, y = -1

Draw the line passing through these two points.

The point of intersection between the two lines is (-3, -1).

Therefore, the solution to the system of linear equations is x = -3 and y = -1.

User Gibertoni
by
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