Question

The pair of linear equation 6x-7y=1 and 3x-4y=5has

Answer 1

Answer:

x = -31/3

y = -9

Step-by-step explanation:

(6x - 7y = 1) × 4 ------ (i)

24x - 28y = 4 ----- (ii)

(3x - 4y = 5) × 7 ----- (iii)

21x - 28y = 35 ----- (iv)

Subtract (iv) - (ii)

21x - 28y - (24x - 28y) = 35 - 4

21x - 28y - 24x + 28y = 31

-3x = 31

$x=\frac{-31}{3} \\\\x=-1.3$

21x - 28y = 35

$21*(\frac{-31}{3}) - 28y = 35\\\\7*(-31) - 28y = 35\\\\-217 - 28y = 35\\\\28y = -217-35\\\\28y=-252\\\\y=\frac{-252}{28} \\\\y=\frac{-36}{4} \\\\y=-9$