A set of equations is given below: Equation A: u = 4v + 1 Equation B: u = 3v + 5 Which of the following is a step that can be used to find the solution to the set of equations?
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the statement:
Set of equations is given below: Equation A: u = 4v + 1 Equation B: u = 3v + 5
Find the solution set.
Solution:
In order to find for the solution set, we first equate the value of equation b to equation a.
u = 4v + 1
3v + 5 = 4v + 1
Solve for v.
Transpose 3v and 1 to the opposite side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
4v - 3v = 5 - 1
v = 4
Substitute the value of v to the 2nd equation and solve for u.
u = 3(4) + 5
u = 12 + 5
u = 17
Final answer:
v = 4
u = 17