Answer:
A
Step-by-step explanation:
1. Isolate the x-term in the first equation:
x-3y=4 -> x=3y+4
2. Substitute 3y+4 in for x in the second equation and solve
2(3y+4)-6y=8 : Distribute the 2
6y+8-6y=8 : Combine like terms
8=8
3. Isolate the y-term in the first equation:
x-3y=4 -> -3y=-x+4
a. Solve for y:
(-3y=-x+4)/-3 : Divide by -3
y=(1/3)x-(4/3)
4. Substitute (1/3)x-(4/3) in for y in the second equation and solve:
2x-6((1/3)x-(4/3))=8 : Distribute the -6
2x-2x+8=8 : Combine like terms
8=8
Explanation:
When you solve a system of equations and get a true statement-
The lines are parallel.
Parallel lines will never intersect, so there is no solution.
Answer:
The correct answer is option D.
Step-by-step explanation:
if the pair of equation has one or more than one solution then it is said to be consistent.
if the pair of equation has no solution then it is said to be inconsistent.
Given : x - 3y = 4 ...[1]
2x - 6y = 8 ...[2]
Solution :
Solving equations with the help of Substituting methods:
x - 3y = 4
x = 4 +3y
Putting value of x from [1] in [2]:
[tex]2(4+3y)-6y=8[/tex]
[tex]8+6y-6y=8[/tex]
[tex]6y=6y[/tex]
0 = 0
Given , system of equation will have infinite solution. Hence consistent and dependent.
The given system of equations will have infinite solutions.
