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r-ruslan [8.4K]
3 years ago
11

Which ordered pair is a solution to the system of linear equation? 2x+ 3y=6 -3x+5y=10

Mathematics
1 answer:
allochka39001 [22]3 years ago
6 0

Answer:

<h3>x = (-2)</h3><h3>y = 2</h3>

Step-by-step explanation:

2x + 3y = 6________( 1 )

-3x + 5y = 10_______( 2 )

( 1 ) × 3 ---- 6x + 9y = 18_____( 3 )

( 2 ) × 2 ---- -6x + 10y = 20_____( 4 )

(4)  +  (3) \\ 6x + 9y  +  ( - 6x + 10y) = 20 - 18 \\ 6x + 9y  -  6x - 10y = 2 \\ y = 2

y = 2 ,

2x + 3y = 6 \\ 2x + 3(2) = 2 \\ 2x + 6 = 2 \\ 2x = 2 - 6 \\ 2x =  - 4 \\x =  \frac{ - 4}{2}  \\ x = ( - 2) \\

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