Question

Find the solution the of following systemy=3x+2y=-2x -8a (-2,-4)b (-6/5,8/5)c. (-3/5,-34/5)d. (1,-6)

Answer 1

Given the system of equations:

y = 3x + 2

y = -2x - 8

Let's solve the system of equations for the values of x and y.

Take the following steps:

Step 1:

Eliminate the equal sides of both equations and combine

3x + 2 = -2x - 8

Let's solve for x.

Step 2:

Subtract 2 from both sides:

3x + 2 - 2 = -2x - 8 - 2

3x = -2x - 10

Step 3:

Add 2x to both sides

3x + 2x = -2x + 2x - 10

5x = -10

Divide both sides by 5:

`\begin{gathered} (5x)/(5)=(-10)/(5) \\ \\ x=-2 \end{gathered}`

Step 3:

Substitute -2 for x in either of the equations and solve for y.

Let's take equation 1:

y = 3x + 2

y = 3(-2) + 2

y = -6 + 2

y = -4

Thus, we have;

x = -2, y = -4

In point form, the solution for the system of equations is:

(x, y) ==> (-2, -4)

ANSWER:

a. (-2, -4)