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meriva
3 years ago
14

Does anyone know the step by step for this 9(m +5) - 3(m - 2) = 8m + 31

Mathematics
2 answers:
tigry1 [53]3 years ago
6 0
<h3>Answer :</h3>

<u>Given</u> :

  • 9(m + 5) - 3(m - 2) = 8m + 31

We have to find value of m.

➠ 9(m + 5) - 3(m - 2) = 8m + 31

➠ 9m + 45 - 3m + 6 = 8m + 31

➠ 9m - 3m + 45 + 6 = 8m + 31

➠ 6m + 51 = 8m + 31

➠ 51 - 31 = 8m - 6m

➠ 20 = 2m

➠ m = 20/2

➠<u> m = 10</u>

<h3>Hope It Helps!</h3>

gladu [14]3 years ago
5 0
1. distribute the left side of the equation
9m+45-3m+6 (make sure to distribute the negative sign)=8m+31
2. put all the variable terms on one side and the constants on the other
-2m=-20
3. divide by -2
m=10
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√₂
snow_lady [41]

Answer:

$2000 was invested at 5% and $5000 was invested at 8%.

Step-by-step explanation:

Assuming the interest is simple interest.

<u>Simple Interest Formula</u>

I = Prt

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  • P = principal invested.
  • r = interest rate (in decimal form).
  • t = time (in years).

Given:

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  • P₂ = principal invested at 8%
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Create two equations from the given information:

\textsf{Equation 1}: \quad \sf P_1+P_2=7000

\textsf{Equation 2}: \quad \sf P_1r_1t+P_2r_2t=I\implies 0.05P_1+0.08P_2=500

Rewrite Equation 1 to make P₁ the subject:

\implies \sf P_1=7000-P_2

Substitute this into Equation 2 and solve for P₂:

\implies \sf 0.05(7000-P_2)+0.08P_2=500

\implies \sf 350-0.05P_2+0.08P_2=500

\implies \sf 0.03P_2=150

\implies \sf P_2=\dfrac{150}{0.03}

\implies \sf P_2=5000

Substitute the found value of P₂ into Equation 1 and solve for P₁:

\implies \sf P_1+5000=7000

\implies \sf P_1=7000-5000

\implies \sf P_1 = 2000

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Learn more about simple interest here:

brainly.com/question/27743947

brainly.com/question/28350785

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