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0.4r − 0.13 − 0.7r = 3r − 5.74

Question

0.4r − 0.13 − 0.7r = 3r − 5.74

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Solution 1

Sure, let's solve the equation step by step:

0.4r − 0.13 − 0.7r = 3r − 5.74

First, let's combine like terms on both sides of the equation:

(0.4r - 0.7r) - 0.13 = 3r - 5.74

This simplifies to:

-0.3r - 0.13 = 3r - 5.74

Next, let's isolate the variable terms on one side and the constant terms on the other side. We can do this by adding 0.3r to both sides and adding 5.74 to both sides:

-0.3r + 0.3r - 0.13 + 5.74 = 3r + 0.3r - 5.74 + 5.74

This simplifies to:

5.61 = 3.3r

Finally, to solve for r, we divide both sides by 3.3:

r = 5.61 / 3.3

So, r ≈ 1.7.

This problem has been solved

Solution 2

Sure, let's solve the equation step by step:

0.4r − 0.13 − 0.7r = 3r − 5.74

First, let's combine like terms on both sides of the equation:

(0.4r - 0.7r) - 0.13 = 3r - 5.74

This simplifies to:

-0.3r - 0.13 = 3r - 5.74

Next, let's isolate the variable terms on one side and the constant terms on the other side. We can do this by adding 0.3r to both sides and adding 5.74 to both sides:

-0.3r + 0.3r - 0.13 + 5.74 = 3r + 0.3r - 5.74 + 5.74

This simplifies to:

5.61 = 3.3r

Finally, to solve for r, we divide both sides by 3.3:

r = 5.61 / 3.3

So, r ≈ 1.7.

This problem has been solved

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