Question

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

Answer 1

Answer:

$(\frac{5}{4},\frac{61}{4}$)

Step-by-step explanation:

This system we can solve by substitution method :

y=13x-1

y=9x+4

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y=13x-1

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

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y=13x-1

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

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y=13x-1

4x=5  (divide by 4)

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y=13x-1

$x=\frac{5}{4}$ (instead x in first eq we write 5/4)

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$y=13*\frac{5}{4} -1=\frac{65-4}{4}=\frac{61}{4}$