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trapecia [35]
3 years ago
10

What is the solution of the following system of equations 5x+7y=3, 2x=-3y+1

Mathematics
2 answers:
ANTONII [103]3 years ago
7 0

Answer:

point form: (2,-1)

equation form: x=2,y=-1

Step-by-step explanation:

vodomira [7]3 years ago
4 0

Answer:

X = 2 and y = -1

Step-by-step explanation:

add 3y to both sides of 2x = -3y + 1

2x + 3y = 1

5x + 7y = 3

multiply (2x + 3y = 1) by -5 and (5x + 7y =3) by 2

-10x - 15y = -5

10x + 14y = 6

-y = 1

y = -1

plug in y

2x = -3(-1) + 1

2x = 4

divide by 2

x = 2

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What is the slope of the line that passes through the points (4, 7) and (5,8)?
slava [35]

Answer:

1

Step-by-step explanation:

Use the coordinates of the points to determine the slope

slope = Δy/Δx = (8-7)/(5-4) = 1

8 0
3 years ago
A piece of fabric shaped as a trapezoid has a
Grace [21]

Answer:

Area of the fabric = 175 square inches

Step-by-step explanation:

Area of a trapezoid = (b1 + b2)/2 * h

Where,

b1 = 16 inches

b2 = 9 inches

h = 14 inches

Area of a trapezoid = (b1 + b2)/2 * h

= (16 + 9)/2 * 14

= 25/2 * 14

= 12.5 * 14

= 175 square inches

Area of the fabric = 175 square inches

4 0
3 years ago
Find three consecutive odd integers so that the sum of twice the first, the second
netineya [11]

Answer: 23, 25, 27

Step-by-step explanation:

Let the 3 consecutive odd numbers be x, x+2 and x+4.

So

2x+(x+2)+3(x+4)=152

2x + x + 2 + 3x + 12 = 152

6x+14=152

6x = 152 - 14

x=138/6

x=23

So, the numbers are 23, 25 and 27.

7 0
3 years ago
sophia earned $52 at her job when she workd for 2 hours. what was her hourly pay rate in hours per dollar?
statuscvo [17]

1 hour =$26, she has an hourly rate of 26 dollars


3 0
3 years ago
Find x in the given figure if m∠AOC = 124°.
Nastasia [14]

Answer:

A) 8

Step-by-step explanation:

Add angles AOB and BOC to get angle AOC.

Since we know the value of AOC is 124 and AOB+BOC=AO

Then (8x+25)+(6x-13)=124.

Combine like terms to get 14x+12= 124.

Solve for x by subtracting 12 from 124, then divide the answer by 14.

3 0
3 years ago
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