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Tpy6a [65]
3 years ago
13

Solve by substitution or elimination 4X – 3y = 7 4x + y = 11

Mathematics
1 answer:
Simora [160]3 years ago
8 0

Answer:

(5/2 , 1)

Step-by-step explanation:

4X – 3y = 7

4x + y = 11

———————

Multiply a -1 to the bottom equation to get the 4x as a negative so it cancels out.

4x - 3y = 7

-4x - y = -11

——————

-4y = -4

Divide by -4

y = 1

Substitute the value of y into one of the equations and solve

4x - 3(1) = 7

4x -3 = 7

4x = 10

Divide by 4

X = 10/4

Simplify by dividing by 2

x = 5/2

Therefore the answer is (5/2, 1 )

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Which expression represents”9 less than the product of 5 and a number n”?
Alika [10]

9 less means subtract

the product of 5 and the number n mea multiply 5 and n

D. 5n-9

6 0
4 years ago
Read 2 more answers
Use long division to divide x^3+x^2-2x+14 by x+3
bekas [8.4K]

First, x^3=x^2\cdot x, and if we multiply x+3 by x^2 we get

x^3+3x^2

Subtracting this from the numerator gives a remainder of

-2x^2-2x+14

Next, -2x^2=-2x\cdot x, and if we multiply x+3 by -2x we have

-2x^2-6x

and subtracting this from the previous remainder, we end up with a new remainder of

4x+14

Next, 4x=4\cdot x, and if we multiply x+3 by 4 we get

4x+12

Subtracting from the previous remainder, we get a new remainder of

2

which contains no more factors of x, so we're done.

So,

\dfrac{x^3+x^2-2x+14}{x+3}=x^2-2x+4+\dfrac2{x+3}

8 0
3 years ago
HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
AlekseyPX

Answer:

The correct answer if F

Step-by-step explanation:

Hope you have a great day or afternoon :D

8 0
3 years ago
Read 2 more answers
The distance around a rectangular cafe is 35m . The ratio of length of the cafe to the width is 3:2. Find the dimension of the
marusya05 [52]

Hi there! :)

Answer:

Length = 10.5 m, width = 7 m.

Step-by-step explanation:

Given:

Perimeter, or P = 35 m

Ratio of l to w = 3 : 2

Since the ratio is 3 : 2, let l = 3x, and w = 2x.

We know that the formula for the perimeter of a rectangle is P = 2l + 2w. Therefore:

35 = 2(3x) + 2(2x)

35 = 6x + 4x

35 = 10x

x = 3.5

Plug this value of "x" into each expression to solve for the dimensions:

2(3.5) = w

w = 7 m

3(3.5) = l

l = 10.5 m

Therefore, the dimensions are:

Length = 10.5 m, width = 7 m.

4 0
4 years ago
By how much is the product of 9/5 and 8 1/4 greater than 5
Oliga [24]

Given:

The product of \dfrac{9}{5} and 8\dfrac{1}{4} greater than 5.

To find:

By how much the product of \dfrac{9}{5} and 8\dfrac{1}{4} greater than 5.

Solution:

First we need to find the product of \dfrac{9}{5} and 8\dfrac{1}{4}.

\text{Product}=\dfrac{9}{5}\times 8\dfrac{1}{4}

\text{Product}=\dfrac{9}{5}\times \dfrac{8(4)+1}{4}

\text{Product}=\dfrac{9}{5}\times \dfrac{33}{4}

\text{Product}=14.85

Now subtract 5 from the product.

14.85-5=9.85

Therefore, the product of \dfrac{9}{5} and 8\dfrac{1}{4} is 9.85 greater than 5.

3 0
3 years ago
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