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2 years ago

-2x+9y=-41 -2x-5y=1 Process of elimination

Mathematics

1 answer:

MrMuchimi2 years ago

3 0

-2x+9y=41.... equation 1

-2x-5y=1 ....equation 2

________________

14y=43

y=43/14

y=43/14 in equation 1

-2x+9(43/14)=41

-2x+387/14=41

-2x=41-387/14

-2x=187/14

x=187/-28

x=187/28 , y=43/14

if you want to check your answer

-2(187/28)+9(43/14)=41

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labwork [276]

Answer:

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2 years ago

Read 2 more answers

an assembly line worker at Rob's Bicycle factory adds a seat to a bicycle at the rate of 2 seats in 11 minutes. Write a proporti

LuckyWell [14K]

Rate = 2 seats/11 minutes = 2/11 seats/min

Therefore the time required for s seats is
$(m \, min) = \frac{s \, seats}{ \frac{2}{11} \, \frac{seats}{min} } = \frac{11s}{2} \, min$
That is,
m = (11s)/2 min

When s = 16, obtain
$m = \frac{11(16)}{2} = 88 \, min$

When s = 19, obtain
$m = \frac{11(19)}{2} = 104.5 \, min$

Answers:
$m = \frac{11s}{2}$
When s = 16, m = 88 min
When s = 19, m = 104.5 min

3 0

2 years ago

What are the x and y-intercepts of the line described by the equation?

KiRa [710]

Answer:

x-int (6.2, 0)

y-int (0, 3.1)

Step-by-step explanation:

x-intercept is found when y = 0.

y-intercept is found when x = 0.

Step 1: Define equation

2x + 4y = 12.4

Step 2: Find x-intercept

<em>Substitute y for 0.</em>

2x + 4(0) = 12.4

2x = 12.4

x = 6.2

(6.2, 0)

Step 3: Find y-intercept

<em>Substitute x for 0.</em>

2(0) + 4y = 12.4

4y = 12.4

y = 3.1

(0, 3.1)

6 0

2 years ago

Rectangle ABCD is on the coordinate plane. The equation of line AB is y = 2/3x+4. What is the slope of line AD? Explain your rea

Delvig [45]

Answer: 2/3

Step-by-step explanation:

6 0

2 years ago

Solve the system of equations graphicallySolution=?

BigorU [14]

The given system is

$\begin{cases}y=\frac{5}{2}x-8 \\ y=-\frac{1}{2}x-2\end{cases}$

Given that y = y, let's combine the equations

$\frac{5}{2}x-8=-\frac{1}{2}x-2$

Let's solve for x

$\begin{gathered} \frac{5}{2}x+\frac{1}{2}x=8-2 \\ \frac{6}{2}x=6 \\ 3x=6 \\ x=\frac{6}{3} \\ x=2 \end{gathered}$

Then, we find y

$y=-\frac{1}{2}x-2=-\frac{1}{2}\cdot2-2=-1-2=-3$

The solution is (2, -3).

The image below shows the solution graphically.

3 0

11 months ago