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2 years ago

Solve 8=3r-1 step by step

2 answers:

8 0

Hi,

Again, we're going to be following the same format we did last time, but the sides of the equation have been swapped. Let's not worry about this, as it doesn't exactly make a difference.

Since 1 is negative, we must add it on both sides.

8 + 1 = 3r - 1 + 1

9 = 3r

Now, we have 3 which is multiplying our variable r. The inverse of multiplication is division, so we will divide both sides by 3. This will leave us with our answer.

9 / 3 = 3r / 3

3 = r or r = 3.

Hopefully, this helps.

tatuchka [14]2 years ago

7 0

1+8=3r
9=3r
Both divided by 3
3=r

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2 years ago

Evaluate the expression into simplest form

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3 years ago

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3 years ago

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zimovet [89]

Answer:

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Solution:

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Now, we have to solve the above given expression.

$\text { Now, } \mathrm{m}+\frac{2}{3}=\frac{1}{4 m}-1$

By multiplying the equation with m, we get

$\begin{array}{l}{m^{2}+\frac{2}{3} m+m=\frac{1}{4}} \\\\ {m^{2}+m\left(\frac{2}{3}+1\right)=\frac{1}{4}} \\\\ {m^{2}+\frac{5}{3} m=\frac{1}{4}}\end{array}$

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Now, let us use quadratic formula

$\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Here in our problem, a = 12, b = 20, c = -3

$\begin{array}{l}{m=\frac{-20 \pm \sqrt{20^{2}-4 \times 12 \times(-3)}}{2 \times 12}} \\\\ {=\frac{-20 \pm \sqrt{400+144}}{24}} \\\\ {=\frac{-20 \pm \sqrt{544}}{24}} \\\\ {=\frac{-20 \pm 4 \sqrt{34}}{24}=\frac{-5 \pm \sqrt{34}}{6}} \\\\ {=\frac{-5+\sqrt{34}}{6} \text { or } \frac{-5-\sqrt{34}}{6}}\end{array}$

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