Question

Solve the equation 2y+1=y+4 and represent its solution on the number line​

Answer 1

Answer: The answer for question 2y+1=y+4 is y=3 and the representation is shown in the attached image. Please refer to the image.

Step-by-step explanation:

Solving the given Equation as shown below

2y+1=y+4

Taking similar terms on the same side of the equation, as if shifting y to the Left-hand side(LHS) to the right-hand side(RHS) as 2y>y and shifting 1 to the RHS from LHS as shown below

2y-y= 4-1   (As we shift from LHS to RHS or vice versa the sign changes as        shown )

solving the above equation further by performing calculations we get

y=3

Hence y=3 is our answer

Now we have to represent the solution of the equation on the Number Line.

For any value of x for example x=0,1,2,-1,... etc. we have value y=3.  so let's plot the line y=3 which is a straight constant line on the y axis parallel to the x-axis from -infinity to +infinity with a constant value of y=3 as shown in the picture attached below.

thank you.