25 points!
which equation shows the first step of the substitution method being used to solve the
system of linear equations?
x + y = 6
x = y + 5
options:
x + y = y + 5
(y + 5) + y = 6
x + (y + 5) = 6
x = (x - 6) + 5

X + y = 6
x = y + 5

Since we already have x, we simply plug in the value of x into our given equation.

x + y = 6

(y + 5) + y = 6

So, our second answer choice is correct.

You always want to put parenthesis into equations so that you know what to do first, and to make everything look neater :)

I know you only asked for the first step, but I'm just going to answer the whole thing, so that you'll be able to understand this a little bit better.

(y + 5) + y = 6

Add like terms.

2y + 5 = 6

Subtract 5 from both sides.

2y = 6 - 5

Simplify.

2y = 1

Divide both sides by 2.

y = 1/2

And, remember, x was already given to us.

x = y + 5

So, once again, our answer is the SECOND answer choice.

~Hope I helped!~