Holly made fruit punch for an office party a few months ago; she used 1 gallon of strawberry juice and 3 gallons of watermelon juice, which cost her a total of $8. For today's party, she used 3 gallons of strawberry juice and 2 gallons of watermelon juice, spending a total of $10. How much does a gallon of each type of juice cost?

Write a system of equations to describe the situation and solve using elimination. (use x for strawberry juice and y for watermelon juice)

I know the equation, but not the answer sorry,

x+3y=8

3x+2y=10

then you would subtract 3y from that side so you now have

x=-3y+8

then you would place that into the equation ender it so

3 (-3y+8) + 2y=10

distribute

-9y+24+2y=10

add like terms

-7y+24=10

subtract 24 from both sides

-7y=-14

divide by 7 on both sides

y=2

and since a negative divided by a negative is a positive the answer is positive 2

then plug it back in to find x

x + 6=8

subtract 6 from both sides

x=2

so there you have it

x=2

y=2