(-3x^2 - 5x + 1) + (8x^2 - 2x - 9)
1st remove the parenthesis
-3x^2 - 5x + 1 + 8x^2 - 2x - 9
then combine like terms
5x^2 - 7x - 8 is the final answer
Given:
Principal = $1400
Simple rate of interest = 1.25%
Time = 6 month
To find:
The balance of the account after simple interest.
Solution:
The formula for simple interest is
Where, P is principal, r is the rate of interest in % and t is time in years.
Time = 6 months
= 
year
= 0.5 year
Putting 1400, r=1.25, t=0.5 years.
Now, the amount is
Therefore, the balance of the account after the simple interest is $1408.75.
The solution of simultaneous equations is x=4 and y = -1.
<h3>What are
Simultaneous equations?</h3>
Simultaneous equations are two or more algebraic equations with the same unknown variables and the same value of the variables satisfies all such equations.
We can solve simultaneous equations by various methods. here we will solve it by elimination method.
Here we have two simultaneous equations
3x -2y = 14 --- (i)
and 4x + 3y = 13---(ii)
Now multiplying (i) by 3 and (ii) by 2 we get
9x -6y = 42 and 8x + 6y = 26.
Now adding both we get
17x = 68 ⇒ x = 68/17 ⇒ x = 4.
Substituting the value of x in (i), we get
3*4 - 2y = 14 ⇒ -2y = 14-12 = 2 = -2/2 ⇒ y = -1.
Therefore, the values of x and y are 4 and -1 respectively .
To know more about simultaneous equations, visit
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<u>NOTE</u> : The question given here is not complete. The complete question is given below.
Question: What is the solution of the simultaneous equations 3x- 2y= 14 and 4x+ 3y= 13?.
