-5.19(y-10)+6.1=3(y-6.6)+4.3
its asking for exact form,no decimals and simplified if possible.
then asking for decimals rounded 4 places
First of all, I would multiply each term by 100
519(y-10) +610 = 300(y - 6.6) + 430
519y - 5190 + 610 = 300y - 1980 + 430
look, no decimals, no fractions,
take over
i got 1010/73 and 13.8356 and they bith were counted wrong?
both
too bad you don't show your work. Just doing the decimal values, I get 8.97436
I agree with your evaluation of Reiny's final line, so let's see what went wrong. Did you bother to check his math?
His only mistake was to omit the leading minus sign. Had you corrected that, you would have arrived at
-519(y-10)+610 = 300(y-6.6)+430
-519y+5190+610 = 300y-1980+430
y = 350/39
If you get a wrong answer here, don't just fold your arms and sulk. See if a simple typo was made.
To solve the equation -5.19(y-10)+6.1=3(y-6.6)+4.3, we will first distribute the terms on both sides of the equation.
On the left side, we have:
-5.19 * (y-10) + 6.1
To remove the parentheses, we will apply the distributive property:
-5.19 * y + (-5.19 * -10) + 6.1
Simplifying further:
-5.19y + 51.9 + 6.1
-5.19y + 58
On the right side, we have:
3 * (y-6.6) + 4.3
Again, using the distributive property:
3 * y + (3 * -6.6) + 4.3
Simplifying further:
3y - 19.8 + 4.3
3y - 15.5
Now, substituting these expressions back into the original equation:
-5.19y + 58 = 3y - 15.5
To simplify further, we will combine like terms on both sides of the equation. We will start by moving all terms involving y to one side and the constants to the other side:
-5.19y - 3y = -15.5 - 58
-8.19y = -73.5
To solve for y, we'll divide both sides of the equation by -8.19:
y = (-73.5) / (-8.19)
y ≈ 8.970
Now, to find the answer in decimal form rounded to 4 decimal places, we will simply substitute the value of y back into the original equation:
-5.19(8.970 - 10) + 6.1 = 3(8.970 - 6.6) + 4.3
Simplifying both sides of the equation:
-5.19(-1.030) + 6.1 = 3(2.370) + 4.3
5.3367 + 6.1 = 7.11 + 4.3
11.4367 = 11.41
Rounding to four decimal places, the answer in decimal form is approximately 11.4367.