Question

Solve the system of equations. 3x – 4y = 8 18x – 5y = 10 x= y =
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Answer 1

Explanation:

Solution by substitution method

3x-4y=8

and 18x-5y=10

Suppose,

3x-4y=8→(1)

and 18x-5y=10→(2)

Taking equation (1), we have

3x-4y=8

⇒3x=4y+8

⇒x=( 4y+8)/ 3 →(3)

Putting x= (4y+8 )/3 in equation (2), we get

18x-5y=10

18( (4y+8) /3) -5y=10

⇒24y+48-5y=10

⇒19y+48=10

⇒19y=10-48

⇒19y= -38

⇒y=- 38 /19

⇒y= -2→(4)

Now, Putting y=-2 in equation (3), we get

x=4y+8

x= (4(-2)+8) /3

⇒x= (-8+8)/ 3

⇒x= 0/ 3

⇒x=0

∴x=0 and y= -2