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Finish solving the system of equations 3x + 5y = −72 and 2x + 3y = –45 using the linear combination method. Step 1: Create an equivalent system with opposite terms: −2(3x + 5y = −72) → −6x − 10y = 144  3(2x + 3y = −45) →   6x + 9y = −135 Step 2: Add the equivalent system of equations to eliminate a variable: −y = 9 Step 3: Solve for the first unknown variable: y = −9 Step 4: Substitute the value of the first variable into one of the original equations: 2x + 3(−9) = −45 Step 5: Solve for the second unknown variable and write the solution as an ordered pair: What is the solution to the system?

Respuesta :

altavistard

Answer:

(-9, -9)

Step-by-step explanation:

3x + 5y = −72 and 2x + 3y = –45 is equivalent to:

3x + 5y = −72

2x + 3y = –45

Let's eliminate x.  To do this, multiply the first equation by -2 and the second equation by +3.  We get:

-6x - 10y = 144

6x +  9y = -135

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      -y = 9

So y = -9.  Substituting -9 for y in the first equation, we get

3x + 5(-9) = -72, or

3x - 45 = -72.  Then 3x = -27, and x = -9.

The solution to this system is (-9, -9).

Answer:

A: (-9,-9)

Step-by-step explanation:

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