Elena began to solve this equation: 12+ + 6(4x + 3) = 2(6x + 4) - 2 3 12x + 6(4x + 3) = 3(2(6x + 4) - 2) 12x + 6(4x + 3) = 661+ 4) - 6 12r + 24 + 18 = 368 + 24 - 6 When she got to the last line she stopped and said the equation is true for all values of x. How could Elena tell?

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!

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17

answer: do we write it

step-by-step explanation: