Question

HELP ME

What is the best first step for solving the given system using substitution while avoiding fractions?

3x+y=9
5x-3y=1

Solve for x in the first equation.
Solve for y in the first equation.
Solve for x in the second equation.
Solve for y in the second equation.

Answer 1

Solve for y in first equations

Answer 2

Option B is correct.

The best first step for solving the given system using substitution while avoiding fractions:

Solve for y in the first equation

Explanation:

Given the system of equations:

`3x+y=9` .....[1]

`5x-3y = 1` .....[2]

We can write equation [1] as:

`y = 9 -3x`

Using substitution substitute equation
`y = 9 -3x` into [2] we have;

`5x-3(9-3x)= 1`

Therefore, the best first step for solving the given system using substitution while avoiding fractions is:

Solve for y in the first equation.