Ibought 4 hamburgers and 3 fries for $14.25 and the next day i bought 3 hamburgers and 5 fries for $15.50 find out the price for each hamburger and fry

The cost of a hamburger is 2.25

The cost of fries is 1.75

Step-by-step explanation:

Let h = cost of hamburgers

let f= cost of fries

4h + 3f = 14.25

3h+5f = 15.50

I will solve these by elimination

Multiply the 1st equation by 3

3(4h + 3f )= (14.25)3

12h +9f = 42.75

Multiply the 2nd equation by -4

-4(3h+5f )= -4(15.50)

-12h - 20f = -62

Add the modified equations together

12h +9f = 42.75

-12h - 20f = -62

-11 f = -19.25

Divide each side by -11

-11f/-11 = -19.25/-11

f = 1.75

Now we need to find the cost of the hamburger

3h+5f = 15.50

Substitute the cost of the fries in

3h + 5(1.75) = 15.50

3h +8.75 + 15.50

Subtract 8.75 from each side

3h = 15.5-8.75

3h =6.75

Divide by 3

3h/3 =6.75/3

h = 2.25

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