All categories

3 years ago

4x + 2y = 8 16x - y = 14

1 answer:

7 0

Equation 1) 4x + 2y = 8
Equation 2) 16x - y = 14

Multiply all of equation 2 by 2.

2) 2(16x - y = 14)

2) 32x - 2y = 28
1) 4x + 2y = 8

Add equations together.

36x = 36

Divide both sides by 36.

x = 1

Plug in 1 for x in the first equation.

4x + 2y = 8

4(1) + 2y = 8

4 + 2y = 8

Subtract 4 from both sides.

2y = 8 - 4

2y = 4

Divide both sides by 2.

y = 4/2

y = 2

So, x = 1, y = 2

~Hope I helped!~

You might be interested in

Compute the average (mean) from the data shown. (round to the nearest tenth)

Alexus [3.1K]

Answer:

Step-by-step explanation:

Add all the numbers then divide by numbers of numbers their are

91+91+91+97+65+37+41+76+ 87= 676

676/9= 75.1111111111 and it goes on forever

6 0

3 years ago

Read 2 more answers

(a) Find the perimeter of the shape below. (Take π = 22/7) 3cm 3cm 12cm 20cm

MariettaO [177]

Try 20cm

it’s correct

3 0

3 years ago

Find the y-intercept and the x-intercept of the line 2x-4y=10

kompoz [17]

Finding y intercept and x intercept is easy:

X intercept will be of the form (x,0) and y intercept will be of the form (0,y)

● If you put x=0 in the equation, you will get y-intercept.

● If you put y=0 in the equation, you will get x-intercept.
______________________________

Given equation: 2x - 4y = 10

◆ Put x = 0
2×0 - 4y = 10
=> -4y = 10
=> y = 10/(-4)
=> y = -5/2

Thus y intercept is (0, -5/2)

◆Put y = 0
2x - 4×0 = 10
=> 2x = 10
=> x = 10/2
=> x = 5

Thus the x intercept is (5,0)

4 0

3 years ago

Which of the following BEST describes a pyramid?

Jet001 [13]

Answer:

Step-by-step explanation:

Pyramids must have bases and a point off the base

3 0

3 years ago

The price of 10 citrons and 7 fragrant wood apples is 55 units. The price of 7 citrons and 10 fragrant wood apples is 64 units.

a_sh-v [17]

Price of one citron = 5 units

Price of one fragrant = 5/7 units = 0.71 units

Further explanation:

Let x be the price of one citron and

y be the price of one fragrant

Then according to given statement

10x+7y = 55 Eqn 1

7x+10y = 64 Eqn 2

Multiplying equation 1 by 7

$7(10x+7y) = 7(55)\\70x+49y=385$

This will be equation 3.

Multiplying equation 2 by 10

$10(7x+10y) = 10(64)\\70x+100y=640$

This will be equation 4.

Subtracting equation 3 from equation 4

$70x+100y - (70x+49y) = 640-385\\70x+100y-70y-49y = 255\\51y = 255\\\frac{51x}{51} = \frac{255}{51}\\x = 5\\Putting\ x=5\ in\ equation\ 1\\10(5)+7y = 55\\50+7y = 55\\7y = 55-50\\7y = 5\\\frac{7y}{7} =\frac{5}{7}$

So,

Price of one citron = 5 units

Price of one fragrant = 5/7 units = 0.71 units

Keywords: Linear Equations, Solving system of linear equations

Learn more about linear equations at:

#LearnwithBrainly

5 0

3 years ago