Question

Solve these questions by using substitution method i x-5y =4 ;
2x+y=7..ii3x-y=5;x+y=1/2

Answer 1

Step-by-step explanation:

x-5y=4

x=4+5y

now, substitute this x value in below equation

2x+y=7

2 (4+5y)+y=7

8+10y+y=7

11y=7-8

11y= -1

y= -1/11

now substitute this y value in below equation

x=4+5y

x=4+5 (-1/11)

=4-5/11

x = 39/11

Therefore

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x=39/11

y=-1/11

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equation 2:

x+y=1/2

x=1/2-y

now,substitute this x value in below equation

3x-y=5

3 (1/2-y)-y=5

3/2-3y-y=5

3/2-4y=5

3/2-5=4y

-7/2=4y

-7/2×1/4=y

-7/8=y

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now, substitute this y value in below equation..

x=1/2-y

x=1/2-(-7/8)

x=11/8

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