Question

2x+3y=28 and 9x+6y=81 elimination method​

Answer 1

Answer:

x = 5

y = 6

Step-by-step explanation:

(2x + 3y = 28)  × 2 ----- (i)

4x + 6y = 56 ----- (ii)

9x + 6y = 81 ----- (iii)

Using Elimination method,

Subtract (iii) - (ii)

9x + 6y - (4x + 6y) = 81 - 56

9x + 6y - 4x - 6y = 25

5x = 25

$x = \frac{25}{5} \\\\x=5$

9x + 6y = 81

9(5) + 6y = 81

45 + 6y = 81

6y = 81 - 45

6y = 36

$y=\frac{36}{6} \\\\y=6$

Answer 2

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