1. 4x + 2y = 11
x - 2 = -2y
First I would isolate one of the variables (x or y) of one of the equations, and then substitute it into the other equation.
The easiest to isolate is the "x" in the second equation
x - 2 = -2y Add 2 on both sides
x = -2y + 2
Substitute this into the first equation
4x + 2y = 11
4(-2y + 2) + 2y = 11 Multiply 4 into (-2y + 2)
-8y + 8 + 2y = 11 Combine like terms
-6y + 8 = 11 Subtract 8 on both sides
-6y = 3 Divide -6 on both sides
y = -3/6 Simplify
y = -1/2
Now that you know "y", you can plug it into either of the original equations to find "x"
x - 2 = -2y
x - 2 = -2(-1/2)
x - 2 = 1 Add 2 on both sides
x = 3
Answer is A
2. y = 3x + 5
4x - y = 5
Substitute the first equation into the second equation
4x - y = 5
4x - (3x + 5) = 5 Multiply/distribute the - into (3x + 5)
4x - 3x - 5 = 5 Combine like terms
x - 5 = 5 Add 5 on both sides
x = 10
Plug in "x" into either of the original equations to find "y"
y = 3x + 5
y = 3(10) + 5
y = 30 + 5
y = 35
Answer is A
140 divided by 14 is your base, which is 10 square meters.
For this case we must write a situation for the following inequality:
Andres needs less than $200 to go on vacation. It is known that in his work he earns $12 per hour, he must also pay a debt of $14. We want to know how many days he gets less than $200. Assuming Andres works 8 hours a day.
x: Variable that represents the number of hours Andres works
Thus, Andres must work less than 17.83 hours for his trip.
Therefore, it requires three work days.
Answer:
Answer:
What is not a property of all parallelograms?
Yes, opposite sides look congruent, and that's a property. But adjacent sides don't look congruent, and that's not a property. Do the sides appear to be parallel? Yes, opposite sides look parallel (and of course, you know this property if you know the definition of a parallelogram)
Step-by-step explanation:
Answer:
$3.25
Step-by-step explanation:
In an ordinary deck of cards, we will notice that there are 52 cards.
However, we have 4 suits and 13 cards in each one making a total of 52, right?.
So, the probability that a person draws two cards and they will be of the same suit is:
Given that; A person bets 1 dollar to b dollars;
To make the bet fair is;
multiply both sides by 17
4b = 13
b = 13/4
b = 3.25
Therefore, to make the fair, the value of b need to be $3.25
