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Umnica [9.8K]
3 years ago
7

2x+5y= 3 -x+ 3y= -7 Using Elimination

Mathematics
1 answer:
Advocard [28]3 years ago
3 0
2x + 5y = 3
-x + 3y = -7

multiply the second equation by 2
-2x + 6y = -14

2x + 5y = 3
-2x + 6y = -14

add two equations
        2x + 5y = 3
+     -2x + 6y = -14
------------------------------
11y = -11
y= -1

substitute -1 to any of the equations
2x + 5(-1) = 3
2x - 5 = 3
2x = 8
x = 4

so the final answers are..
x = 4 , y = -1
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Solve the system of linear equations by graphing. y = –5/2 x – 7 x + 2y = 4 What is the solution to the system of linear equatio
Anestetic [448]

Keywords

system; linear equations; graphing; solution

we have

y=-\frac{5}{2}x-7 -------> equation A

x+2y=4

x=4-2y ----> equation B

The <u>system</u> of <u>linear equations</u> is composed of equation A and equation B

Substitute the equation B in equation A

y=-\frac{5}{2}[4-2y]-7

y=-10+5y-7

4y=17

y=17/4=4.25

Find the value of x

x=4-2[17/4]=-4.5

The<u> solution</u> is the point (-4.5,4.25)

Using a <u>graphing</u> tool

see the attached figure

therefore

the answer is the option A

(-4.5,4.25)


4 0
3 years ago
Read 2 more answers
I WILL GIVE CROWN TO FASTEST AND RIGHT ANSWER
stellarik [79]

Answer:39.5

Step-by-step explanation:Your dividing pi and 0.08, therefor this is your answer. Your Welcome.

4 0
3 years ago
What type of angle is a 104 degree angle?
GalinKa [24]

Answer:

The answer is an obtuse angle

Step-by-step explanation:

Anything over 90 degrees is obtuse. Anything below 90 is acute and if is exactly 90 it is a right angle

4 0
3 years ago
On January 1, 2010, Joline deposits $1000 in a bank account that does not earn interest. For the next 12 months she deposits $25
hjlf

Answer:

$1000 + $25m and $1300 - 25m ;

1100 + 2.75m

2010 (4th month)

2011 ( 7th month)

Step-by-step explanation:

Joline's account :

Initial deposit = $1000

Monthly deposit = $25

Monthly withdrawal = $25

Number of months = 12

Let m = number of month at any point in time

Initial deposit + total deposit

Amount in Joline's account ; first 12 months

$1000 + $25m - - - (1)

Next 12 months :

$1000 + $25 *12 - 25m

1300 - 25m

Sofia's account :

Deposit amount = $1100

Interest per month = 0.25% = 0.0025

1100 + (1100 * 0.0025 * m)

1100 + 2.75m - - (2)

To find the month:

Equate equation 1 and 2, then find m

$1000 + $25m = 1100 + (1100*0.0025*m)

1000 + 25m = 1100 + 2.75m

25m - 2.75m = 1100 - 1000

22.25m = 100

m = 100 / 22.25

m = 4.494

In year 2010, they have approximately the same amount in the fourth month

1300 - 25m = 1100 + 2.75m

1300 - 1100 = 2.75m + 25m

200 = 27.75m

m = 200 / 27.75

m = 7.207

In 2011 ; they have approximately the se amount in the 7th month

4 0
3 years ago
The sale price of ground beef at a local grocery store is $1.49 for the first pound and $1.09 for each additional pound. Which f
cricket20 [7]

Answer:

y=1.09x+0.4

Step-by-step explanation:

Let's assume that the price of beef stays the same for every pound of beef (the first pound is also $1.09)

Then, the equation would be, it y was the cost, and x was pounds:

y=1.09x

But, the price of beef is not the same for the first pound.

The first pound costs an extra 1.49-1.09=0.4 dollars a pound, so we will add that to the equation.

y=1.09x+0.4

6 0
3 years ago
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