All categories

3 years ago

2x-8y=-24 6x+4y=68 Using elimination method

1 answer:

4 0

6(2x-8y=-24)
-2 (6x+4y=68)
12x-48y=-144
-12x-8y=-136
-56y=-280

-280÷-56=5
y=5

2x-8 (5)=-24
2x-40=-24
+40. +40
2x=16
16÷2=8
×=8

y=5
x=8
hope this helps, if needed a picture for better understanding,please comment.

You might be interested in

What is the amplitude, period, and phase shift of y= 5cos( x/2 + 2pi/3)

nordsb [41]

Y = A cos(Bx + C)
A - amplitude
$\frac{2\pi}{B}$ - period
$- \frac{C}{B}$ - phase shift

$y=5\cos{( \frac{x}{2} + \frac{2\pi}{3} )}
\\
\\y=5\cos{( \frac{1}{2}x + \frac{2\pi}{3})}
\\
\\A=5,B= \frac{1}{2},C= \frac{2\pi}{3}$

Amplitude: 5
Period: $\frac{2\pi}{B}=\frac{2\pi}{\frac{1}{2}}=4\pi$
Phase shift: $- \frac{C}{B} =- \frac{\frac{2\pi}{3}}{\frac{1}{2}}= -\frac{4\pi}{3}$

3 0

3 years ago

Sylvia ran 3km 290m in the morning then she ran some more in the evening if she ran a total of 10km how far did Sylvia run in th

MAXImum [283]

Answer:

She ran 6.71km in the evening

Step-by-step explanation:

3km 290m = 3.29km

10 - 3.29 = 6.71km

4 0

3 years ago

Plzzzz due in a few mins help

Eduardwww [97]

Answer:

equation: 4x+6=9

x=0.75

Step-by-step explanation:

4x+6=9

subtract 6 from both sides

4x+6-6=9-6

4x=3

divide by 4 on both sides

4x÷4=3÷4

x=0.75

I hope this is good enough:

6 0

3 years ago

Read 2 more answers

The table below shows the price in dollars for the number of roses indicated is the price proportional to the number of roses ex

makvit [3.9K]

Answer:

Price of roses is proportional to the number of roses.

Step-by-step explanation:

Let the price of roses are proportional to the number of roses.

Equation representing this phenomenon will be,

P = k(R) ⇒ k = $\frac{P}{R}$

where 'P' = price of the roses

R = Number of roses

k = Proportionality constant

If we substitute the values of P and R and we get the same value of constant 'k', then the equation will be true.

For R = 3 and P = $9

k = $\frac{9}{3}$

k = 3

For R = 6 and R = 18

k = $\frac{18}{6}$

k = 3

K is same in both the conditions, therefore, Price of roses are proportional to the number of roses.

6 0

3 years ago

He simultaneous equations<br>5x + y = 21<br>x - 3y = 9 <br><br>With working out

Elza [17]

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

5x + y = 21 → (1)

x - 3y = 9 → (2)

Multiply (1) by 3 and add the result to (2) to eliminate y term

15x + 3y = 63 → (3)

Add (2) and (3) term by term

(x + 15x) + )- 3y + 3y) = (9 + 63)

16x = 72 ( divide both sides by 16 )

x = 4.5

Substitute x = 4.5 into (1) for corresponding value of y

22.5 + y = 21 ( subtract 22.5 from both sides )

y = - 1.5

Solution is (4.5, - 1.5 )

8 0

3 years ago