## 5x+2=5/2(1-2x)if it consistent or inconsistent

October 13, 2019// Blog//

**Answer:**

**Option (c) is correct.**

**The system is Inconsistent.**

**Step-by-step explanation:**

Given : A pair of lines.

We have to identify the system by type.

Consider the given system of pairs of lines.

Since, the graph shows two parallel lines.

1) Consistent : A system of linear equation is said to be consistent if the graph of equation either intersect at a single point or two lines overlap each other.

that is a unique solution or infinite many solution.

2) equivalent : When two system of equations have same solution then the two system are said to be equivalent.

3) Inconsistent : A system of linear equation is said to be inconsistent if the graph of equation are parallel to each other.

Thus, the given graph shows parallel lines,

**Hence, The system is Inconsistent**