Solve system by elimination

9x + 3y = 24
10x - 2y = 0

(1, 5 )

Step-by-step explanation:

Given the 2 equations

9x + 3y = 24 → (1)

10x - 2y = 0 → (2)

Multiplying (1) by 2 and (2) by 3 and adding the result will eliminate the y- term

18x + 6y = 48 → (3)

30x - 6y = 0 → (4)

Add (3) and (4) term by term to eliminate y

48x + 0 = 48

48x = 48 ( divide both sides by 48 )

x = 1

Substitute x = 1 into either of the 2 equations and solve for y

Substituting into (1)

9(1) + 3y = 24

9 + 3y = 24 ( subtract 9 from both sides )

3y = 15 ( divide both sides by 3 )

y = 5

solution is (1, 5 )

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!