The oldest son will get $370, the middle will get $220 and the youngest will get $185.
Step-by-step explanation:
Given,
Total amount to be split = $775
Let,
Oldest son's share = x
Middle son's share = y
Youngest son's share = z
According to given statement;
x+y+z=775 Eqn 1
the oldest gets twice as much as the youngest
x = 2z Eqn 2
the middle son gets $35 more than the youngest
y = z+35 Eqn 3
Putting value of x and y from Eqn 2 and 3 in Eqn 1
Dividing both sides by 4
Putting z=185 in Eqn 2
Putting z=185 in Eqn 3
The oldest son will get $370, the middle will get $220 and the youngest will get $185.
Keywords: linear equation, substitution method
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So you always want y in front of the equation no matter what so you have x +2y=5 so you take the x and you subtract it to both side making it 2y= 5-x so then you just have to take the 2 to both side so you have to divide it and you will get y= 5/2-x/2 so then to graph it you start with the b which is -x/2 so you go down -1 and over 2 and place your dot adn then go up 5 over 2 and then place you dot and connect them together
Answer:
All real numbers; the simplification is described below.
Step-by-step explanation:
5(- 3x - 2) - (x - 3) = -4(4x + 5) + 13
Let's keep in mind PEMDAS (the order of operations) to simplify and solve this. First, we'll distribute inside each set of parenthesis!
5(-3x) + 5(-2) -1(x) -1(-3) = -4(4x) -4(5) + 13
See how we've taken the outer term on the outside of the parenthesis and multiplied it to each term inside the parenthesis. Simplify further.
-15x - 10 - x + 3 = -16x - 20 + 13
Now we can combine like terms! I will bold the terms I am combining.
-15x - 10 - x + 3 = -16x - 20 + 13 (combining the x terms on the left)
-16x - 10 + 3 = -16x - 20 + 13 (combining the constants on both sides)
-16x - 7 = -16x - 7
Aha! It looks like we have an equation that's literally equal to itself. If we were to simplify this, or put in any number, we'd get that number equals itself. For example:
-16(1) - 7 = -16(1) - 7
-16 - 7 = -16 - 7
-21 = -21
Any number you put in here will make the equation true, so these lines must be the same line. That means the solution is all real numbers.
The answer to this question is inside the triangle
