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?

Equation F can be written as 5b + 1 = 3b + 4.
Equation F can be written as b + 1 = 3b + 4.
Equation F can be written as a = 3(a − 1) + 4.
Equation F can be written as a = 5(a − 4) + 1.

Answer 1

the answer is A because they are equal to eachother

Answer 2

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

Explanation:

A set of equations is given below:

Equation E: a = 5b + 1

Equation F: a = 3b + 4

In substitution method we solve the equation for a variable and substitute it in other equation

Given a= 5b +1

Also equation F : a= 3b+4

both equation have 'a' on the left hand side

So we substitute 5b+1 for 'a' in second equation

Substitute 5b+1 in the place of 'a' in Equation F

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