All categories

2 years ago

Given the system of equations below,explain if (6,-9) is a solution or not.

Mathematics

1 answer:

quester [9]2 years ago

6 0

Answer:

(6,-9) is a solution.

Step-by-step explanation:

Multiply each equation by the value that makes the coefficients of y opposite.

(-1) · (7x+2y) = (-1) · (24)

8x+2y = 30

Simplify.

-7x-2y = -24

8x+2y = 30

x = 6

-7 · x - 2y = -24

-7 · 6 - 2y = -24

-42 - 2y = -24

-2y = 18

y = -9

You might be interested in

What is this math problem???<br><br> g(x)=1/20x(x-100)

Fudgin [204]

Answer:

the x intercept is (0,100) and the y intercept is (0,0)

Step-by-step explanation:

g(x)=1/20x(x-100)

g(0)=1/20(0)(0-100)

g(0)=1/20*0(0-100)

g(0)=100

6 0

3 years ago

The figure shows a cylinder of diameter 12cm and height = 15cm. A hole in the shape of cone is bored into one of its end. If the

Lisa [10]

Answer:

$\bold{495\pi} \approx \bold{1555.088 cm^3}$

Step-by-step explanation:

There was no figure but the question is clear

Volume of a cylinder is given by the formula $\bold{\pi r^2h}\\$

where r is radius of base of cylinder, h is the height

Volume of a cone is given by $\bold{\frac{1}{3} \pi r^2 h}$

where r is the radius of base of cone, h is the height

The radius of the cylinder = $\frac{1}{2}$ (diameter) = $\frac{1}{2}$ (12) = 6cm

Height of cylinder = 15cm

Volume of cylinder $V_{cyl} = \pi (6)^2 15 = \pi (36)15 = \bold{540\pi}$

Radius of cone = $\frac{1}{2}$ (radius of cylinder) = $\frac{1}{2}$ (6) = 3 cm

Height of cone same as height of cylinder = 15cm

Volume of cone, $V_{cone} = \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (3)^2 15 = \frac{1}{3}(9)15\pi = \bold{45\pi}\\$

Difference is the volume of the remaining solid

$V_{cyl} - V_{cone} = 540\pi - 45\pi = \bold{495\pi} \approx \bold{1555.088 cm^3}$

5 0

1 year ago

Is 0/12 a rational or irrational number

kondor19780726 [428]

I feel like it would be rational because 0/12 = 0, and 0 is a rational number.

6 0

3 years ago

It took a submarine 3 seconds to drop to 12 feet below sea level from the surface. what is the rate of descent

kotegsom [21]

For everyone 4 feet he drops, 1 second will pass. (for everyone 1 second that goes by, he will be 4 feet lower)
12/3=4

4 0

3 years ago

18 divided by 6 multiples by 4-3 +6

yKpoI14uk [10]

15 is the answer i think

6 0

3 years ago