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Math  /  Algebra

Question2.8y+2.2y=51y5x+4x+2x=11x\begin{array}{l}2.8 y+2.2 y=51 y \\ 5 x+4 x+2 x=11 x\end{array}

Studdy Solution

STEP 1

What is this asking? We're checking if these two equations are true! Watch out! Don't just assume they're correct!
We gotta do the math to be sure.

STEP 2

1. Check the first equation.
2. Check the second equation.

STEP 3

Alright, so we've got 2.8y+2.2y2.8y + 2.2y.
Since both terms have a yy, we can add the numbers together!
Think of it like this: if you have 2.82.8 apples and 2.22.2 apples, you have a total of 2.8+2.2=52.8 + 2.2 = 5 apples.
So, 2.8y+2.2y=5y2.8y + 2.2y = 5y.

STEP 4

The equation says 2.8y+2.2y=51y2.8y + 2.2y = 51y.
We just found that 2.8y+2.2y=5y2.8y + 2.2y = 5y.
So, is 5y5y equal to 51y51y?
Nope, definitely not! 55 and 5151 are totally different numbers.

STEP 5

This time we have 5x+4x+2x5x + 4x + 2x.
They all have an xx, so we can add 'em up! 5+4+2=115 + 4 + 2 = 11, so 5x+4x+2x=11x5x + 4x + 2x = 11x.

STEP 6

The equation says 5x+4x+2x=11x5x + 4x + 2x = 11x.
We found that 5x+4x+2x=11x5x + 4x + 2x = 11x.
So, is 11x11x equal to 11x11x?
Yes!

STEP 7

The first equation, 2.8y+2.2y=51y2.8y + 2.2y = 51y, is **false**.
The second equation, 5x+4x+2x=11x5x + 4x + 2x = 11x, is **true**!

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