Question

5x-4y+8=0
7x+6y-9=0

find the value of x & y in substitution method..​

Answer 1

Answer:

x= -6/29

y= 101/58

Step-by-step explanation:

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Answer 2

The value of x and y are $-\frac{6}{29}$ and $\frac{101}{58}$ respectively.

Step-by-step explanation:

The equations are:

5x - 4y = -8... (i)

7x + 6y = 9... (ii)

Solve the two equations simultaneously as follows:

Multiply (i) by (6) and (ii) by (4) and add as follows:

30x - 24y = -48

28x + 24y = 36

____________

58x = -12

$x=-\frac{6}{29}$

Substitute the value of x in (i) and solve for y as follows:

$5x-4y=-8\\5\times \frac{-6}{29}+8=4y\\\frac{202}{29}=4y\\y=\frac{101}{58}$

Thus, the value of x and y are $-\frac{6}{29}$ and $\frac{101}{58}$ respectively.

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