Question

What is the solution of the system? y = 13x - 1 ; y = 9x + 4

Answer 1

`((5)/(4),(61)/(4)`)

Explanation:

This system we can solve by substitution method :

y=13x-1

y=9x+4

_______

y=13x-1

13x-1=9x+4 (instead y in second equation we use 13x-1 and first rewrite)

_______

y=13x-1

13x-9x=4+1 (subtract 9x and add 1 for each side)

______

y=13x-1

4x=5 (divide by 4)

_____

y=13x-1

`x=(5)/(4)` (instead x in first eq we write 5/4)

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`y=13*(5)/(4) -1=(65-4)/(4)=(61)/(4)`