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Licemer1 [7]
3 years ago
6

What is the solution to the system of equations using the linear combination method {4x+y=5, 3x+y=8?

Mathematics
2 answers:
erastovalidia [21]3 years ago
5 0
4x + y = 5
3x + y = 8
y = -3x + 8

4x +(-3x + 8) = 5
4x -3x + 8 = 5
x + 8 = 5
x = -3

y = -3(-3) + 8
y = -9 + 8
y = -1
Mekhanik [1.2K]3 years ago
3 0

Answer:

x = -3 and y = 17

Step-by-step explanation:

The given system of equations is

4x + y = 5 --------(1)

and 3x + y = 8 ----------(2)

Now we subtract equation (2) from equation (1)

(4x+y) - (3x+y) = 5 - 8

(4x - 3x) + (y-y) = -3

x = -3

Now we put x = -3 in equation (1)

4(-3) + y = 5

-12 + y = 5

       y = 5 + 12 = 17

Therefore, x = -3 and y = 17 is the solution of the given system of equations.

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Flura [38]

Answer:

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sStep-by-step explanation:

6 0
2 years ago
Write the equation of the line parallel to 2x - 6y = 12 that passes through the point ( -1, 4).​
vlada-n [284]

Answer:

y = 1/3x + 4 1/3

Step-by-step explanation:

2x - 6y = 12

First find the slope

Solve for y

Subtract 2x

2x - 6y -2x= 12-2x

-6y = -2x+12

Divide by -6

-6y/-6 =-2x/-6 +12/-6

y = 1/3 x -2

The slope is 1/3

Parallel lines have the same slope

Using the slope intercept form y = mx+b where m is the slope and b is the y intercept

y = 1/3x +b

And substituting in the point

4 = 1/3 (-1) +b

4 = -1/3 +b

Add 1/3 to each side

4 + 1/3 = b

y = 1/3x + 4 1/3

4 0
3 years ago
B) Find g (-3) for g(x) = 3x + 5
fredd [130]

Step-by-step explanation:

g(x)=3x+5

g(-3)=3(-3)+5

=-9+5

=-4

3 0
3 years ago
Labor rate = $7.50 per hour Labor time = 6.5 hours Retail price of parts = $0 Total job cost = $82.00 Overhead rate?
Ulleksa [173]
Total cost job=
Retail price of parts+labor cost+manufacturing overhead

Total cost job 82

Retail price of parts 0

Labor cost=7.5×6.5=48.75

Manufacturing overhead ?

82=0+48.75+?

?=82−48.75

?=33.25

Manufacturing overhead is 33.25

Now find manufacturing overhead rate from the cost of labor
33.25÷48.75=0.682×100=68.2%

The answer 68.2%




4 0
3 years ago
Solve : t+2t squared
zloy xaker [14]

Answer:

t=0 or t=-1/2

Step-by-step explanation:

Solve for t over the real numbers:

t (2 t + 1) = 0

Split into two equations:

t = 0 or 2 t + 1 = 0

Subtract 1 from both sides:

t = 0 or 2 t = -1

Divide both sides by 2:

Answer: |

| t = 0 or t = -1/2

3 0
3 years ago
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