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3 years ago

Consider the following system of equations:

Mathematics

1 answer:

IrinaK [193]3 years ago

3 0

Answer:

x = 6 ; y = -9

Step-by-step explanation:

8 x + 2 y = 30 ..........equ No 1

7 x + 2 y = 24......... equ No 2

8 x = 30 - 2y

∴ x = $\frac{ 30 - 2 y}{8}$

substituting the value of x in equ No 2

7 $\frac{30 - 2 y}{8}$ + 2 y = 24

7 ( 30 -2 y) + 2 y × 8 = 24 × 8

7 × 30 - 14 y + 16 y = 192

210 + 2 y = 192

2 y = 192 - 210

2 y = - 18

∴ y = - 9

put y = -9 , 8 x = 30 - 2 y

8 x = 30 - 2 ( -9)

8 x = 30 - ( -18)

8 x = 48

∴ x = 6

x = 6 ; y = -9

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