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Nastasia [14]
3 years ago
10

Question 14

Mathematics
1 answer:
Reil [10]3 years ago
6 0

Answer:

The system of equations has a one unique solution

Step-by-step explanation:

To quickly determine the number of solutions of a linear system of equations, we need to express each of the equations in slope-intercept form, so we can compare their slopes, and decide:

1) if they intersect at a unique point (when the slopes are different) thus giving a one solution, or

2) if the slopes have the exact  same value giving parallel lines (with no intersections, and the y-intercept is different so there is no solution), or

3) if there is an infinite number of solutions (both lines are exactly the same, that is same slope and same y-intercept)

So we write them in slope -intercept form:

First equation:

6x+y=-1\\y=-6x-1

second equation:

-6x-4y=4\\-6x=4y+4\\-6x-4=4y\\y=-\frac{3}{2} x-1

So we see that their slopes are different (for the first one slope = -6, and for the second one slope= -3/2) and then the lines must intercept in a one unique point. Therefore the system of equations has a one unique solution.

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587.602739726

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7 times as much as the sum of 1/3 and 4/5
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1/3+4/5= 17/15
The commun multipleof 3 and 5 is 15.
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119/84

Hope this helps! :)

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Systems of equations.<br><br> Y= -3x+1<br> Y=x-3 How do i start it
Anvisha [2.4K]
You can set both equations together

y = -3x + 1

and y = x - 3

we can replace the y of one equation with the other side 

-3x+1 = x-3

add 3x on both sides

1 = x + 3x -3
add 3 on both sides

1 + 3 = x+ 3x

simplify

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divide by 4 on both sides

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4 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Csf%5Cfbox%5Cred%7B%E1%9F%94question%E1%9F%94%3A-%7D%20" id="TexFormula1" title="\sf\fbox\re
Assoli18 [71]

Answer:

A. 560

Step-by-step explanation:

multiply 600 by 0.93 in order to find out what 93% of 600 is.

600 x 0.93 = 558

since 558 isn't one of the options you find which one is closest to it, then divide by 600 in order to see if it's still 93%

a) 560/ 600 = 0.93333 = 93.3%

there's your answer.

but to compare it with the rest of the answer choices:

b) 540 / 600 = 0.9 = 90%

c) 470 / 600 = 0.78333 = 78.3%

d) 490 / 600 = 0.81667 = 81.6%

none of these are in the range of 93, so they're incorrect

6 0
2 years ago
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