Help with this math problem, please!!
1 answer:
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The answer to the question
Answer:
Ivy is 6 years old and Rose is 12 years old.
Step-by-step explanation:
To solve this problem, two variables are necessary since we have two unknown variables: Ivy's age and Rose's age.
Ivy's age will be
and Rose's age will be
"Ivy is half as old as her sister":
this will be our <u>fist equation.</u>
"In six years, Ivy will be two-thirds as old as Rose"
in six years Ivy will have years, and Rose will have
years, so for this sentence we have the equation:
this will be our <u>second equation.</u>
Substituting the value of x from the first equation into the second, and solving for y(Rose):
Rose is 12 years old.
and Ivy (using the fist equation):
Ivy is 6 years old.
Linear equation are the equation which has the highest power of the unknown variable is 1.The expressions given in the option 1, 2, and 3 are equivalent to .
The equations given in the problem are the linear equations.
<h3>Linear equation</h3>Linear equation are the equation which has the highest power of the unknown variable is 1.
Given-
1) The given expression in the problem is,
Rewrite the equation as,
Take out the negative sign from the bracket,
Rewrite the equation with positive terms first.
Hence the given equation is equivalent to the option 1.
2) The given equation,
On solving further take out the 7 common from the bracket,
Thus the given equation is equivalent to the option 2.
3) The given equation,
Split the term of <em>x,</em>
<em /><em />
Rewrite the equation,
Hence the given equation is equivalent to the option 3.
4) The given equation,
Split the term of <em>x </em>and constant term,
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Rewrite the equation,
Hence the given equation is not equivalent to the option 4.
Thus the expressions given in the option 1, 2, and 3 are equivalent to .
Learn more about the linear equation here;