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3 years ago

What is the result of adding these two equations? 6 x + 2 y = − 2 3 x − 2 y = − 5 6x+2y 3x−2y =−2 =−5

Mathematics

1 answer:

stellarik [79]3 years ago

7 0

Answer:

The result gives the equation: 9x = -7

solution: (-7/9, 4/3)

Step-by-step explanation:

6 x + 2y = − 2

and

3 x − 2y = − 5

add together

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

9x + 0 = -7

9x = -7

then x = -7/9

and y = -3x - 1:

y = -3*(-7/9) - 1

y = 7/3 - 1 = 4/3

solution: (-7/9, 4/3)

-----------------------------------------

6x+2y= -2 and 3x−2y =−5

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

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3 years ago

If a car factory checks 320 cars and 12 of them have defects, how many out of 560 will have defects? Use proportions

Shkiper50 [21]

Answer:

Total number of cars having no defection $= 539$

Total number of cars out of 560 will have defects = $560 - 539 = 21$

Step-by-step explanation:

A car factory checks 320 cars, and

12 of them have defects.

Total number of cars = 560

The number of cars defected out of the cars that have

been checked = $320 - 12 = 308$

The equation of the scenario will be:

$\left[560\:\times \:308\right]\:\div \:320$ ⇒ $\frac{172480}{320}=539$

Total number of cars having no defection $= 539$

Total number of cars out of 560 will have defects = $560 - 539 = 21$

5 0

3 years ago

Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,632 was collected on the sale of 1,128 ticket

MAVERICK [17]

Answer:

A = number of adult tickets

S = number of student tickets

1033 = total tickets sold

A + S = 1033

5A = money collected for adult tickets

S = money collected for student tickets

2265 = total money collected

5A + S = 2265

two equations and two unknowns:

5A + S = 2265

A + S = 1033

subtract 2nd equation from 1st and solve for A:

4A = 1232

A = 308

Plug in value for A in 1st equation and solve for S:

A + S = 1033

308 + S = 1033

S = 725

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2 years ago

Find the domain and range of the given graph?<br>HELPPPP PLSS

Paul [167]

Answer:

The domain would be -3≤x≤2 and the range would be -5≤y≤4

Step-by-step explanation:

The domain is where the x values cover, so since on the graph the points range from having -3 as the x value to 2, x would be anything between or equal to these values.

The domain is where the y values cover, so since on the graph the points range from having -5 as the y value to 4, y would be anything between or equal to these values.

8 0

3 years ago

Which equation represents a line that passes through (-9, -3) and has a slope of -6?

eimsori [14]

Answer:

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = - 6 and (a, b) = (- 9, - 3), so

y - (- 3) = - 6(x - (- 9)), that is

y + 3 = - 6(x + 9)

8 0

3 years ago

Read 2 more answers

What is the result of adding these two equations? 6 x + 2 y = − 2 3 x − 2 y = − 5 6x+2y 3x−2y ​ =−2 =−5 ​

What is the result of adding these two equations? 6 x + 2 y = − 2 3 x − 2 y = − 5 6x+2y 3x−2y =−2 =−5