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KonstantinChe [14]
3 years ago
11

Write the following as an algebraic expression. Then simplify.

Mathematics
1 answer:
ch4aika [34]3 years ago
8 0
X+(x+1)=y. The first integer would be x, and the second would be one more than x, so x+1. I'm not sure if there's a specific number they are supposed to total, so I just set it equal to y. If there is a specific number, just replace y with that number. Hope this helps!
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-a + 28 = 14 solve for a
pochemuha

Answer:

a = 14

Step-by-step explanation:

28[-14]=14;

-14

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3 years ago
Please help me find the answer pls​
fiasKO [112]

Answer:

A. Solutions are: x = 2, y = 1.

B. Solutions are: x = 3, y = 2.

C.

1. Inconsistent

2. Inconsistent

3. Consistent

Step-by-step explanation:

A. Solutions of each system of linear equations by substitution method:

Equation 1:      3x - 2y = 4

Equation 2:               x = 2y

<u>Step 1:</u> Substitute x = 2y into the Equation 1:

3(2y) - 2y = 4

6y - 2y = 4

4y = 4

Step 2: Divide both sides of the equation by 4 to isolate y:

\frac{4y}{4}  = \frac{4}{4}

y = 1.

<u>Step 3:</u> For Equation 2, x = 2y, substitute y = 1 into the equation to solve for x:

x = 2y  

x = 2(1)

x = 2  

Therefore, the solutions are:  x = 2, y = 1.

B. Find the solutions of each system of linear equations by elimination method:  

Equation 1:      2x + y = 8

Equation 2:        x + y = 5

<u>Step 1:</u> Multiply Equation 2 by 2:  

2(x + y) =  5(2)

2x + 2y = 10

<u>Step 2:</u> Subtract Equation 1 from the equation derived from Step 1,  2x + 2y = 10:

   2x + 2y = 10

-  <u>2x +  y  =   8</u>

        y =   2

Step 3: Plug in y =  2 into Equation 1, 2x + y = 8 to solve for x:

2x + y = 8

2x + (2) = 8

<u>Step 4:</u> subtract both sides of the equation by 2 to isolate x:

2x + 2 - 2 = 8 - 2

2x = 6

<u>Step 5:</u> Divide both sides of the equation by 2 to solve for x:

\frac{2x}{2}  = \frac{6}{2}

x = 3.

The solutions are: x = 3, y = 2.

C:

1. Inconsistent

2. Inconsistent  

3. Consistent (infinitely many solutions)

3 0
2 years ago
¡¡¡40 POINTS!!!
natulia [17]

Answer:

C

Step-by-step explanation:

Given

5x + 10y - 15 ← factor out 5 from each term

= 5(x + 2y - 3) → C

4 0
3 years ago
A local park is in the shape of a square. A map of the local park is made with the scale 1 inch to 200 feet. a) If the park is s
vitfil [10]

Answer:

The length of each side of the square park is 2,400 ft

Step-by-step explanation:

we know that

The scale is \frac{1}{200}\frac{in}{ft}

step 1

Remember that

1 ft=12 in

The length of each side on the map is 1 ft

Convert ft to in

1 ft=1(12)=12 in

step 2

Find the length of each side of the square park

using proportion

Let

x ----> the actual length of each side of the square park

\frac{1}{200}\frac{in}{ft}=\frac{12}{x}\frac{in}{ft}\\\\x=200*12\\\\x=2,400\ ft

7 0
2 years ago
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