Question

Consider the following system of linear equations:

5y−x=14
y−2x=1
The solution of this system is

x=??? y=???

Answer 1

Answer:

−2x=1

5y−x=14

(1)⇒y=1+2x

Put y=1+2x in (2) we get

5(1+2x)−x=14

⇒5+10x−x=14

• ⇒9x=14−5=9
• ⇒x=

9

9

=1

Put x=1 in (1) we get

y−2×1=1

⇒y−2=1

⇒y=1+2=3

∴x=1,y=3

Step-by-step explanation:

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