Jackie goes to the mall every weekend with her friends. Last week, the group spent $28.00 on 2 salads and 4 fruit smoothies. This week, the group spent $38.00 on 3 salads and 5 fruit smoothies. Let x represent the cost of a salad and let y represent the cost of a smoothie. 2x + 4y = 28 3x + 5y = 38 If you multiply the first equation by –3, what could you multiply the second equation by to eliminate the x-variable when adding the equations? What is the cost of a salad? What is the cost of a smoothie?

Salad(x)=6, smoothie(y)=4

Step-by-step explanation:

Salad=x

Smoothie=y

2x+4y=28 (1)

3x+5y=38 (2)

To eliminate the x- variable ,equ(1) is multiplied by -3 and equ(2) is multiplied by 2

-6x-12y=-84 (3)

6x+10y=76 (4)

Add equ (3) and (4)

-2y=-8

y=-8/-2

y=4

Substitute y=4 into equ(1)

2x+4y=28

2x+4(4)=28

2x+16=28

2x=28-16

2x=12

x=12/2

=6

x=6, y=4

x = 12

y = 15

step-by-step explanation:

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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