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9966 [12]
1 year ago
12

How is the system graphed, and how are the solutions determined?

Mathematics
1 answer:
lana [24]1 year ago
3 0

Answer:

\text{The solut}\imaginaryI\text{on for the system }\imaginaryI\text{s}\operatorname{\lparen}2,1\operatorname{\rparen}

Step-by-step explanation:

The solution of the given functions would be the point of intersection of the two functions, then by graphing linear functions.

\begin{gathered} y=mx+b \\ where, \\ m=\text{ slope} \\ b=\text{ y-intercept} \end{gathered}

For the given function:

\begin{gathered} y=-\frac{1}{2}x+2 \\ y=2x-3 \end{gathered}\text{ The solution for the system is \lparen2,1\rparen}

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Solve the following system of equations<br><br> 3x - 2y =5<br><br> -2x - 3y = 14
stepladder [879]

Answer:

x = -1 and y = -4

Step-by-step explanation:

It is given that,

3x - 2y = 5     ----(1)

-2x - 3y = 14 ------(2)

<u>To find the solution of equations</u>

(1) * 2 ⇒

6x - 4y = 10  -----(3)

(2) * 3 ⇒

-6x - 9y =  42   ----(4)

eq(3) + eq(4) ⇒

6x - 4y = 10  -----(3)

<u>-6x - 9y =  42 </u>  ----(4)

 0   - 13y = 52

y = 52/(-13) = -4

Substitute the value of y in eq(1)

3x - 2y = 5     ----(1)

3x - (2 * -4) = 5

3x  +8 = 5

3x = 5 - 8 = -3

x = -3/3 = -1

Therefore x = -1 and y = -4

5 0
3 years ago
Read 2 more answers
6) What number when added to 1/1/3 gives 2?
Delvig [45]

Answer:

2/3

Step-by-step explanation:

2 - 1 1/3 = 2/3

4 0
3 years ago
7x+8y=−46 2y − 6=0 What is the solution (x,y) to the system of equations above?
yarga [219]

Answer:

(-10, 3)

Step-by-step explanation:

You can do it algebraically (substitution or elimination) or graphically. I will be using substitution to solve this.

Step 1: Rewrite 2nd equation

2y = 6

y = 3

Step 2: Plug in <em>y</em>

7x + 8(3) = -46

7x + 24 = -46

7x = -70

x = -10

Put it in coordinates and we have our final answer!

8 0
3 years ago
If 3,a-1,a+1 and 5 are pproportional,then a =?
babymother [125]

Answer:

a = ± 4

Step-by-step explanation:

Expressing the proportion in fractional form

\frac{3}{a-1} = \frac{a+1}{5} ( cross- multiply )

(a -1 )(a + 1) = 15 ← expand factors on left side

a² - 1 = 15 ( add 1 to both sides )

a² = 16 ( take the square root of both sides )

a = ± \sqrt{16} = ± 4

3 0
3 years ago
Eduardo has saved 76% of the money he needs to buy a new game system that costs $189.00. How much more money does he need to buy
Debora [2.8K]

Answer:

ok

Step-by-step explanation:

it is 200

5 0
3 years ago
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