Question

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?

Answer 1

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

Answer 2

Answer: The statement is equating

5b+1=3b+4

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=
`(3)/(2)`

Now a=
`5((3)/(2))+1`

=
`(15)/(2) +1`

=
`(17)/(2)`