All categories

2 years ago

Explain: What is the solution to this system of equations? 2x+y=20 6x-5y=12

Mathematics

1 answer:

bazaltina [42]2 years ago

3 0

Answer:

solution set is (x,y) = (7,6)

Step-by-step explanation:

solving by substitution method

2x +y=20--------------1

6x-5y=12---------------2

from equation 1, solve for y

2x+y=20

y= 20-2x------equation 3

adding value of y in equation 2

6x-5y=12

6x-5(20-2x)=12

6x-100+10x=12

16x= 12+100

16x= 112

x= 112/16

x=7

adding value of x in equation 3

y= 20-2x

y= 20- 2(7)

y=20-14

y=6

so solution set (x,y) = (7,6)

You might be interested in

Harriet is cultivating a strain of bacteria in a petri dish, she has 10^3 bacteria in the dish. The bacteria divided every two h

olga_2 [115]

Answer:

4000

Step-by-step explanation:

A=P(2)^(t/d)

A=future amount

P=starting amount

t=time elapsed

h=doubling time

given

P=10^3

t=6

d=2

A=10^3(2)^(6/2)

A=10^3(2)^2

A=10^3(4)

A=4*10^3

A=4000

4000 bacteria

8 0

2 years ago

Perform the indicated operation. 9z^3/16xy . 4x/27z^3

ziro4ka [17]

Answer:

$\frac{1}{12y}$

Step-by-step explanation:

This is a multiplication problem.

We want to multiply $\frac{9z^3}{16xy}\cdot \frac{4x}{27z^3}$

We factor to get:

$\frac{9z^3}{4\times 4xy}\cdot \frac{4x}{9\times 3z^3}$

We now cancel out the common factors to get:

$\frac{1}{4\times y}\cdot \frac{1}{1\times 3}$

We now multiply the numerators and the denominators separately to get.

This simplifies to $\frac{1}{12y}$

Therefore the simplified expression is $\frac{1}{12y}$

8 0

2 years ago

A ball rolls over the edge of a platform with only a horizontal velocity. The height of the platform is 1.6 m and the horizontal

Sever21 [200]

Answer:

35 m/s

Step-by-step explanation:

Let gravitational acceleration g = 9.8m/s2. We can calculate the amount of time for the ball to fall vertically a distance of 1.6 m

$1.6 = 9.8t^2/2$

$t^2 = 2*1.6/9.8 = 0.327$

$t = \sqrt{0.327} = 0.571s$

This is also the time it takes for the ball to fly horizontally, assume constant horizontal speed, we can calculate the speed it takes to travel across 20m in 0.571s

v = 20 / 0.571 = 35 m/s

4 0

2 years ago

Zane bought a pair of jeans that originally cost $56. He used a coupon for 25% off and paid 8% in sales tax. How much did he pay

sattari [20]

Answer:

$38.64

Step-by-step explanation:

so the equation needed to solve is $56*0.25 and that number is 14. Since it is a coupon you subtract 14 from 56 and end up with 42. Now multiply 0.08*42 and you got your sales tax, $3.36. now subtract that from 42 and you have your answer! Don't forget the dollar sign!

hope this helped! : )

5 0

2 years ago

As one once said Another one

aleksandrvk [35]

Answer:

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers