A set of equations is given below:


Equation E: a = 5b + 1

Equation F: a = 3b + 4


Which statement describes a step that can be used to find the solution to the set of equations?

Verified Answer :

equation F can be written as 5b + 1 = 3b + 4

Answer: The statement is equating

5b+1=3b+4

Step-by-step explanation:

Given equation 1 : a=5b+1

      equation 2 : a=3b+4

Now since LHS of both the equations is the same

so RHS is also going to be same

 i.e. 5b+1=3b+4

5b-3b=4-1

2b=3

b=\(\frac{3}{2}\)

Now a=\(5(\frac{3}{2})+1\)

=\(\frac{15}{2} +1\)

=\(\frac{17}{2}\)