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3 years ago

Solve the simultaneous equations: 3x + 2y = 35 2x + 3y = 30

Mathematics

1 answer:

lesya [120]3 years ago

5 0

Answer:

nuber 1

Simplifying

3x + 2y = 35

Solving

3x + 2y = 35

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

3x + 2y + -2y = 35 + -2y

Combine like terms: 2y + -2y = 0

3x + 0 = 35 + -2y

3x = 35 + -2y

Divide each side by '3'.

x = 11.66666667 + -0.6666666667y

Simplifying

x = 11.66666667 + -0.6666666667y

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Math help please =)

a_sh-v [17]

2x - 3 < 11 or 8x -10 < 82: X < 23/2

Part 1
2x-3<11
Add 3 both sides
2x-3+3<11+3
Refine
2x<14
Divide by 2 on both sides
2x / 2 / 14 / 2
Refine
x < 7

Part 2
8x-10<82
Add 10 to both sides
8x-10+10<82+10
Refine
8x<92
Divide by 8
8x / 8 / 92 / 8
Refine
x < 23 / 2

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3 years ago

Find the following when a = -1, b = 2, c = -1/4 (4b - 3)/(2a) -1

Katena32 [7]

We substitute the given into the equation
given: a=-1, b=2, c= $\frac{-1}{4}$
=( $\frac{4b-3}{2a}$ -1
= $\frac{4(2)-3}{2(-1)}$ -1
= $\frac{8-3}{-2}$ -1
= $\frac{5}{-2}$ -1
to continue, we can either find a common denominator or change the fraction to decimal.
Fraction to Decimal:
$\frac{5}{-2}$ =-2.5
Equation=-2.5-1=-3.5
OR Common Denominator:
= $\frac{5}{-2}$ $\frac{-1}{1}$ × $\frac{-2}{-2}$ (denominator should be -2=common)
= $\frac{5}{-2}$ + $\frac{2}{-2}$
= $\frac{7}{-2}$
which also = to -3.5

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3 years ago

If f(x) = –3x – 5 and g(x) = 4x – 2, find (f – g)(x).

Vikki [24]

Answer:

(f-g)(x)=-7x-3

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The area of a rectangle is 42 square inches and one side is 12 inches long find the perimeter of the rectangle show your work

uranmaximum [27]

So first of all we need to know that area is length times width
Area = L x W
since we know the area is 42 and the length is 12 lets plug those in
42 = 12 x W
now we dont know what W is yet but we can figure it out by dividing 42 by 12
42/12 = 3.5
So W = 3.5!
but its asking for the perimeter and we know that perimeter is all of the sides of the rectangle added up. Heres a picture

___3.5___
| |
| |
12 | | 12
| |
************
3.5

see now we just add those all up together:)

12 + 12 + 3.5 + 3.5 = 31!!
so our perimeter is 31 inches:)
have a good one
PICK ME BRAINLIEST!:D

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3 years ago

What is an equivalent mixed number for the decimal 16.3

ZanzabumX [31]

Answer:

The answer is 5 1/3 or five one thirds

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4 years ago