Part a: solve the following system of equations algebraically showing your work: 3x + 2y + 4 and 4x +3y = 7 part b: describe which method you used to solve the system. explain why that method was better than the other methods.

  (-2, 5)

Step-by-step explanation:

3x + 2y = 4

4x +3y = 7

x = (2·7 -3·4)/(2·4 -3·3) = 2/-1 = -2

y = (4·4 -7·3)/-1 = -5/-1 = 5

The solution is (x, y) = (-2, 5).

I used the Vedic maths variation of Cramer's Rule, because it is straightforward, and because the usual methods of elimination or substitution get messy with these coefficients.

Cramer's Rule gives you a formula for the values of x and y in the system

The formula is ...

The Vedic maths variation of this negates each of the terms, which has the effect of putting the products into X patterns that are relatively easy to memorize.

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt

dalila is incorrect. the whisker on the left is very long, going all the way out to 5. the whisker goes from 5 to 30, so it has a spread of 25. the rest of the box plot values are closer together, so 5 is an outlier