Question

I NEED HELP!!!

Choose the correct graph of the given systems of equations. y − 2x = −1 2y − x = 4 graph of two lines intersecting at two comma three with text on graph that reads One Solution 2, 3 graph of two lines intersecting at zero comma negative one with text on graph that reads One Solution 0, negative 1 graph of two parallel lines with positive slopes with text on graph that reads No Solution graph of two lines on top of each other with text on graph that reads Infinitely Many Solutions

Answer 1

It will be the graph of two lines intersecting at two comma three with text on graph that reads One Solution 2, 3.

Explanation:

The system of equations are

y - 2x = - 1 ............ (1) and

2y - x = 4 ........... (2)

Now, solving equations (1) and (2) we get,

2(2x - 1) - x = 4

{Substituting the value of y from equation (1) to equation (2)}

⇒ 4x - 2 - x = 4

⇒ 3x = 6

⇒ x = 2

Hence, from equation (1) we get,

y = 2x - 1 = 2(2) - 1 = 3

Therefore, the solution is (2,3).

So, it will be the graph of two lines intersecting at two comma three with text on the graph that reads One Solution 2, 3. (Answer)