Which of the following values of x make the following functions equal? y = 2x + 1 and y = 4x – 3
Mathematics · High School · Tue Nov 03 2020
Answered on
Given the following functions:
y = 2x + 1
y = 4x -3
Find the value of x which makes the functions equal.
Solution:
Equate the two solutions, as an equivalent of each other.
2x + 1 = 4x - 3
Combine like terms and solve for the value of x.
2x + 1 = 4x - 3
1 + 3 = 4x - 2x
2x = 4
Divide both sides of the equation by 2 in order to get the value of x
x = 2
Check:
Substitute the value of x in the equation.
y =2(2) + 1
y = 5
y =4(2) -3
y =5