Question

NEED ANSWER ASAP!!!!!!!

in the system: {y=28+0.05x}

{y=25+0.07x}

what is the substitute for x where y is the same on both equations?

Answer 1

Hi there (◕‿-)

Since both equations are equal to y, they must equal each other. So set them to equal each other.

28 + 0.05x = 25 + 0.07x (✿ ♥‿♥)

Let's start by subtracting 25 from both sides!

3 + 0.05x = 0.07x (28-25=3, 25-25=0)

Now let's subtract 0.05 from both sides Ｏ(≧▽≦)Ｏ

3 = 0.02x

We need this x by itself, so let's get rid of it. Do this by divide both sides by 0.02 （ ´_⊃｀）

150 = x

So x = 150. Let's test this. Substitute 150 in for x in both equations! ＼（＾○＾）人（＾○＾）／

28+0.05(150) = 25+0.07(150)

28 + 7.5 = 25 + 10.5 (0.05*150=7.5, 0.07*150 = 10.5)

35.5 = 35.5

It works! (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

So x = 150