how do you solve for the solution
x+9y=2(1)
x=9-y(2)

What level of math is this?

Its algebra in college

Haa crap once sec, I'll ask my boyfriend. Tutors Calculus ane linear Algebra. So he's a smarty pants.

Thank you because I'm stuck on that one and another one I posted if you could look at that one for me? Thanks

thank you because im stuck on that one and another one i posted if you could look at that one for me? thanks

Maybe copy and paste it?

solve with add and multiply 5+6x<53

When's it due? Monday? He might be taking his time. I had to text it to him.

Yeah its due Monday
Thankss

Here, the easiest way to solve it is by substitution.

x+9y=2
x=9-y

The second equation shows you the 'value' of x. So, use that in the first equation.

x+9y=2

Since 'x' is 9-y, replace the value of 'x' like this:

(9-y)+9y=2

Did you see it? I replaced the x by its equal value, that is 9-y.

Now, it's easy to find y.

(9-y)+9y=2

9-y+9y=2

- y + 9y gives + 8y

9+8y=2

Now remove 9 from both sides:

9+8y - 9=2 - 9

The 9 cancels out on the left hand side:

\cancel{9}+8y \cancel{- 9}=2 - 9

8y=-7

Divide both sides by 8:

\frac{8y}{8}=\frac{-7}{8}

The 8 cancel out on the left hand side:

\frac{\cancel{8}y}{\cancel{8}}=\frac{-7}{8}

y=-\frac{7}{8}

Here is the value of y.

Now replace that value in the previous equation, x=9-y

x=9-(-\frac78)

x=9+\frac78

x=\large{9}\frac78

5+6x<53

This one now.

5+6x<53

Remove 5 from both sides:

5+6x-5<53-5

6x<48

Divide both sides by 6:

\frac{6x}{6}<\frac{48}{6}

x<8

Here it is! :)

If you were to divide or multiply by a negative number at any time, you will have to change the inequality sign. '>' becomes '<' and vice versa.

I'll give you an example:

Let's say 5 < 6

That's true right?

Ok, let's multiply that by -2:

5\times -2 < 6 \times -2

-10 < -12

Is -10 really smaller than -12? No. If you plot these on a number line, -10 is larger than -12. So, when you multiply or divide by a negative number, always invert the inequality sign.

I hope it helped! :)

If you have more problems, don't hesitate to ask. Next time though, post what you did and got wrong, so that we know where the problem is. :)

HAHAHA OH GOSH! WHY didn't I think of that. I must have been tired last night, I could have doen that easily. :)