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Nadya [2.5K]
2 years ago
15

Solve the system by substitution​

Mathematics
1 answer:
Alexxandr [17]2 years ago
5 0
1) Solve one of the equations for either variable.

2) Substitute the expression from Step 1 into the other equation.

3) Solve the resulting equation.

4) Substitute the solution in Step 3 into one of the original equations to find the other variable.

5) Write the solution as an ordered pair.
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Answer:

Hence the expression $$(3rs-7)(3rs-4)=9r^2s^2-33rs+28$$

Step-by-step explanation:

Explanation

  • The given expression is (3rs-7)(3rs-4).
  • We have to multiply the given expression.
  • Multiply the (3rs-7) by -4, multiply the (3rs-7) by 3rs then add like terms.

$$\begin{matrix}{} & {} & {} & {} & 3rs & - & 7 \\ \times & {} & {} & {} & 3rs & - & 4 \\ \end{matrix}$$

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$$\begin{matrix}{} & {} & {} & - & 12rs & + & 28 \\ {} & {} & 9{{r}^2}{{s}^2} & - & 21rs & {} & {} \\ \end{matrix}$$

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$$\begin{matrix}{} & {} & 9{{r}^2}{{s}^2} & - & 33rs & + & 28 \\ \end{matrix}$$

3 0
1 year ago
one video rental club charges $25 to become a member and 2.50 to rent each video another charges no membership fee but charges $
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... 33 1/3 < x

You must rent 34 videos or more to make the first club more economical.

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Identifying the problem

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