Please help algebra 2 work?

Question

Graph the linear system and estimate the solution then check the solution algebraically.

1. 4x+y=5
3x-y=2

2. X+2y=-6
-6x-2y=-14

3. 2x-3y=15
X-3/2y=-3

4. 3x-y=12
-x+8y=-4

Answer 1

(1)

Step 1:

The linear equations are and .

Graph :

Graph the equations and .

Observe the graph:

The graph appear to intersect point at .

Step 2:

Check the solution for algebraically.

Substitute intersect point in the linear equation .

Substitute intersect point in the linear equation .

The solution of the linear system is .

Solution :

Graph the equations and .

The solution of the linear system is .

Answer 2

(2)

Step 1:

The linear equations are and .

Graph:

Graph the equations and .

Observe the graph:

The graph appear to intersect point at .

Step 2:

Check the solution for algebraically.

Substitute intersect point in the linear equation .

Substitute intersect point in the linear equation .

The solution of the linear system is .

Solution :

Graph the equations and .

The solution of the linear system is .

Answer 3

(3)

Step 1:

The linear equations are and .

Rewrite the linear equations are and .

Graph:

Graph the equations and .

Observe the graph:

The graph appear to intersect point at .

Step 2:

Check the solution for algebraically.

Substitute intersect point in the linear equation .

Substitute intersect point in the linear equation .

The solution of the linear system is .

Solution :

Graph the equations and .

The solution of the linear system is .

Answer 4

(4)

Step 1:

The linear equations are and .

Graph:

Graph the equations and .

Observe the graph:

The graph appear to intersect point at .

Step 2:

Check the solution for algebraically.

Substitute intersect point in the linear equation .

Substitute intersect point in the linear equation .

The solution of the linear system is .

Solution :

Graph the equations and .

The solution of the linear system is .