Six times the lesser of the two consecutive even integers is 4 times the greater even integer. What are the integers?

Mathematics

1 answer:

Paladinen [302]3 years ago

5 0

Answer:

Integers are 4 and 6

Step-by-step explanation:

Let the two consecutive even integers be $x,x+2$ such that $x$

Six times the lesser of the two consecutive even integers is 4 times the greater even integer.

So,

$6x=4(x+2)\\6x=4x+8\\6x-4x=8\\2x=8\\x=4$

Other integer $=x+2=4+2=6$

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Please help me with this problem

user100 [1]

Answer:

Keisha bought 3 sandwiches and 5 lemonades.

Equations: x + y = 8 2x + y = 11

Step-by-step explanation:

To solve a problem with two variables, you need to set up a system of equations comparing the two variables and solve using either substitution or elimination. If 'x' represents the number of sandwiches and 'y' represents the number of lemonades, then x + y = 8 because they bought a total of 8 items. Also, the cost of each item is given as well as the total amount of money spent. So, our second equation is: 2x + y = 11. We can use inverse operations to solve for 'y' in the first equation: x + y - x = 8 - x which simplifies to: y = 8 - x. We can then use this expression to substitute in for the variable 'y' in the second equation: 2x + 8 - x = 11.

Combine like terms: x + 8 = 11

Inverse Operations: x +8 - 8 = 11 - 8

Solve: x = 3, so Keisha bought 3 sandwiches

Solve for y: y = 8 - 3 = 5, so Keisha bought 5 lemonades

7 0

3 years ago

Jk i know the answer

anygoal [31]

Answer: good for you

Step-by-step explanation:

4 0

3 years ago