<h2>
Translating Word Equations into Numerical Equations</h2>
To change words into equations, we can recognize keywords that translate into operations and/or numbers:
- <em>quotient</em> = divide
- <em>a number/the number/two numbers</em> = variables
- <em>sum</em> = add
<h2>Solving the Question</h2>
Let the two numbers be <em>a</em> and <em>b</em>.
We're given:
- quotient of <em>a</em> and <em>b</em> is 3
⇒ 
- sum of <em>a</em> and <em>b</em> is 8
⇒ 
First, isolate <em>a</em> in the first equation and substitute it in the second equation to solve for <em>b</em>:
Therefore, one of the numbers is 2. Substitute this into one of our equations to solve for <em>a</em>:
Therefore, the other number is 6.
<h2>Answer</h2>
The two numbers are 2 and 6.
X - y = 3
6x + 4y = 13
x = y + 3
6(y + 3) + 4y = 13
6y + 18 + 4y = 13
10y = 13 - 18
10y = - 5
y = - 5/10
y = - 1/2
x = - 1/2 + 3
x = - 1/2 + 6/2
x = 5/2
<h3><u>The value of y is equal to (-4 - 3x)/4.</u></h3>
Because there are two variables and only one equation, we cannot solve for the exact value of y.
However, we can still get a value of y.
y - 4 = 3x + 5y
Subtract y from both sides.
-4 = 3x + 4y
Subtract 3x from both sides.
-4 - 3x = 4y
Divide all terms by 4.
(-4 - 3x)/4 = y
Answer:
ok so x is her currect age y is her age in 20 years
2x+6=y
x+20=y
that means that both sides are equal
2x+6=x+20
-6
2x=x+14
-x
x=14
so her currect age is 14 and lets plug in
14+20=34
her currect age is 14 and her age in 20 years is 34
Hope This Helps!!!
