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labwork [276]
3 years ago
11

Solve the system of equations. 5x + y = 9 3x + 2y = 4

Mathematics
2 answers:
tiny-mole [99]3 years ago
5 0
Y=-5x+9

3x+2(-5x+9)=4
3x-10x+18=4
-7x=4-18
-7x=-14
x=2

5(2)+y=9
10+y=9
y=9-10
y=-1

The answer is (2,-1) :)
denis-greek [22]3 years ago
5 0
A system with 2 equations and 2 variables.

First equation we'll call it E1 and the second E2

By elimination, we can get x with E2 - 2*E1,
(3-10)x + (2-2)y = 4-2(9)
-7x = -14
x = 2

and now to get y, 5*2 + y = 9
y = 9 - 10 = -1

x = 2
y = -1
in (x, y) form its (2, -1)
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What is the length of segment LP?
Mariana [72]
In the image, as denoted by similar sides OP and MN, we can conclude that the 2 triangles are similar triangles. To look for the value of x (which we can substitute later to find the length of segment LP), we relate the relations of segments LO and LP to segments LM and LN. This relation is shown below:

LO/LP = LM/LN

22 / x+12 = 30 / x+12 + 5
22 / <span>x+12 = 30 / x+17
</span>
Cross-multiplying:
30x + 360 = 22x + 374

Isolating x to one side of the equation by subtracting 22x and 360 from both sides:

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Since we now have the value of x, we substitute this to the equation of LP:
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8 0
3 years ago
120 110 A pick-your-own blueberry farm offers 6 pounds of blueberries for $14. Cost (dollars) 100 90 Drag the points to create a
shutvik [7]

The relationship between cost and pounds of blueberries is y = (7/3)x

A linear equation is of the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the cost in dollars for x pounds of blueberries.

Since 6 pounds of blueberries cost $14, hence:

m = $14/ 6 pound = $7/3  per pound

Therefore the relationship between cost and pounds of blueberries is y = (7/3)x

Find out more at: brainly.com/question/25445678

5 0
3 years ago
The following table shows the length and width of a rectangle: Length Width Rectangle A 3x 2 2x − 1 Which expression is the resu
Stolb23 [73]

The perimeter of a rectangle is 10x + 2 which is a polynomial function. Option C is the correct answer.

<h3>What is a perimeter?</h3>

A perimeter is a closed path that outlines either a two-dimensional shape or a one-dimensional length.

Given that the length is 3x+2 and the width is 2x-1. The perimeter of a rectangle is given below.

P = 2 (L + W)

P = 2 ( 3x+2 + 2x-1)

P = 2 ( 5x +1)

P =10x +2

A polynomial function is a function that involves only positive integer exponents of a variable in an equation.

Hence we can conclude that the perimeter of a rectangle is 10x + 2 which is a polynomial function. Option C is the correct answer.

To know more about the perimeter, follow the link given below.

brainly.com/question/6465134.

6 0
2 years ago
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