When checking if (9,4) was a solution to 3y - 2x = 19, lev said that it was. why is he incorrect

Lev is incorrect because (9, 4) is not a solution to the equation.

Step-by-step explanation:

We are given the equation: 3y - 2x =  19

When we are to check if an ordered pair is a solution to an equation, we substitute the pair in the equation and compare the RHS and LHS.

If they come to be equal then we can say that the given pair is indeed a solution to the equation.

So, here, RHS = 19

LHS = 3(4) - 2(9) = 12 - 18

= -6

19

i.e., LHS ≠ RHS

So, we can say that (x, y) = (9, 4) is not a solution to the given equation.

the answer will be

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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