Question

find the value of x and y if 5x+8y=-1 and 6y-x=4y-7​

Answer 1

Answer:

X = 3 & Y = -2

Step-by-step explanation:

Given,

5x + 8y = -1 ------------> (1)

6y - x = 4y - 7

=> x - 6y + 4y - 7 = 0

=> x - 2y = 7 ----------> (2)

(1) ==> 5x + 8y = -1

(2) x 4 ==> 4x - 8y = 28

---------------------

9x = 27

---------------------

==> x = 3

(1) ==> 5x + 8y = -1

==> 5(3) + 8y = -1

==> 15 + 8y = -1

==> 8y = -1 - 15

==> 8y = - 16

==> y = -2

Answer 2

Step-by-step explanation:

6y-x=4y-7

2y-x= -7.

multiplying equation 1 with 5 we get

5(2y-x) =5× -7

10y-5x = -35. (1)

5x+8y = -1. (2)

(1)+(2)

10y-5x+5x+8y = -35+-1

10y+8y = -36

18y = -36

y = -2

putting y = -2 in equation (2)

we get

5x+8(-2) = -1

5x+ -16 = -1

5x = 15

x= 3

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