Solve each system of linear equations.

1/
y=2x_3
y_2x=_3
Answer:
0=0

2/
3x+y=4
_3x=y_7
Answer:
0=3 or 0=11

3/
y=_4x+1
4x=_y_6
answer:
0=5 or 0=7

4/
Y_x+3=0
X=y+3
answer:
0=0
Please,if the answers were wrong, helpe me for solve them

Use - for subtraction

#1, if you get 0=0, there will be an infinite number of solutions
(You are intersecting a line with itself, really just have one line)

#2
3x+y=4 or y = 4 -3x
-3x=y-7 or y = 7-3x
then 4-3x = 7-3x
4 = 7 , contradiction, so there is no solution.
(So you actually trying to intersect two distinct separate lines)

#3,
y=_4x+1 or y = 4x+1
4x=_y_6 or y = -4x-6
4x+1 = -4x-6
8x = -7
x = -7/8, then y = -28/8 + 1 = -5/2

#4, yes
but what is your conclusion as to answers ?

Let's go through each system of linear equations and solve them step by step.

For the first system:
1. y = 2x - 3
2. y = 2x + 3

To solve this system, we can set the two equations equal to each other:
2x - 3 = 2x + 3

Now, let's simplify and isolate the variable:
2x - 2x = 3 + 3
0 = 6

The equation 0 = 6 is not true. Therefore, the system of equations is inconsistent. There is no solution.

For the second system:
1. 3x + y = 4
2. -3x = y + 7

To solve this system, we can substitute the value of y from equation 2 into equation 1:
3x + (-3x - 7) = 4

Simplify:
0x - 7 = 4
-7 = 4

Again, the equation -7 = 4 is not true. Therefore, the system of equations is inconsistent. There is no solution.

For the third system:
1. y = -4x + 1
2. 4x + y = 6

To solve this system, we can substitute the value of y from equation 1 into equation 2:
4x + (-4x + 1) = 6

Simplify:
0x + 1 = 6
1 = 6

Once again, the equation 1 = 6 is not true. Therefore, the system of equations is inconsistent. There is no solution.

For the fourth system:
1. y = x + 3
2. x = y + 3

To solve this system, we can substitute the value of x from equation 2 into equation 1:
y = (y + 3) + 3

Simplify:
y = y + 6

Now, let's simplify further and isolate the variable:
y - y = 6
0 = 6

The equation 0 = 6 is not true. Therefore, the system of equations is inconsistent. There is no solution.

So, in all four systems of linear equations, there is no solution.