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Mathematics, 19.03.2020 10:32 omar1511

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?

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Finish solving the system of equations 3x + 5y = −72 and 2x + 3y = –45 using the linear combination...

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