What is the value of z in the diagram?

Mathematics

1 answer:

lutik1710 [3]3 years ago

4 0

Answer:

Step-by-step explanation:

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The sum of two numbers is 14. The larger number minus three times the lesser number is -2. What is the lesser number?

V125BC [204]

Answer:

c) 4

Step-by-step explanation:

The sum of two numbers is 14. The larger number minus three times the lesser number is -2

To solve this question, we need to write the statement mathematically;

Let the two numbers be x and y

"The sum of two numbers is 14" can be mathematically written as x+y = 14

and

"The larger number minus three times the lesser number is -2" can be mathematically written as x - 3y = -2

x + y = 14 ------------------(1)

x - 3y= -2 -------------------(2)

Subtract equation (2) from equation (1)

[x - x = 0 y - (-3y)=4y 14-(-2)=16]

4y = 16

To get the value of y divide both-side of the equation by 4

4y/4 = 16/4

y = 4

Substitute y=4 into equation (1)

x + y =14

x +4 =14

Subtract 4 from both-side of the equation

x + 4 -4 = 10]-4

x = 10

x=10 and y =4

Therefore the lesser number is 4

7 0

2 years ago

−10x − 5y ≥ 15 x + y ≤ −1 what are the quadrants containing a solution to the above system of linear inequalities.

Paraphin [41]

Let's convert these inequalities to Slope Intercept Form so that we can graph them easily.

−10x − 5y ≥ 15
Add 10x to both sides.
-5y ≥ 10x + 15
Divide both sides by -5 and flip the inequality sign.
y ≤ -2x - 3

x + y ≤ − 1
Subtract x from both sides.
y ≤ -x − 1

When graphed, the solutions lay in Quadrants II, III, and IV. You can see this in the picture I've included.