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Nesterboy [21]
3 years ago
10

Is y=3x-5 and 6x=2y+10 a solution

Mathematics
1 answer:
iVinArrow [24]3 years ago
5 0
Y=3x-5
y-3x=-5
Times 2 from both side
y(2)-3x(2)=-5(2)
2y-6x=-10
Times negative from both side
(-)2y-6x(-)=(-)-10
-2y+6x=10
or
6x-2y=10


6x=2y+10
6x-2y=10
Furthermore, we see that both equation have the same 6x-2y=10 which means that both of them have infinity solutions, not a solution. Hope it help!
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Simplify 15 to the 18th power over 15 to the 3rd power.
worty [1.4K]
The rule for quotients of similar bases with different exponents is:

(a^c)/(a^b)=a^(c-b)  in this case:

15^18/(15^3)=15^15


3 0
2 years ago
Write an equation for the line that passes through the given point and is perpendicular to the graph of the given equation.
Nezavi [6.7K]

Answer:

  • y + 2 = - 3/2(x - 4)

Step-by-step explanation:

<u>Given line:</u>

  • y + 4 = 2/3(x - 2)

It has a slope of 2/3.

<u>Perpendicular lines have negative-reciprocal slopes, so the perpendicular slope is:</u>

  • m = - 3/2

<u>Find its equation provided it passes through the point (4, - 2):</u>

  • y - (-2) = - 3/2(x - 4)
  • y + 2 = - 3/2(x - 4)
3 0
2 years ago
8x(5+10)= (8x5) + (5x10)
Slav-nsk [51]

Answer:

i think its x= 0.75

Step-by-step explanation:

substitute:

8x × 5 = 40x

8x × 10 = 80x

8 × 5 = 40

5 × 10 =50

40x + 80x = 40 + 50

add like terms

so it'd be:

120x = 90

now divide 90 by 120 and that would give you the value of x alone which is 0.75

7 0
3 years ago
Read 2 more answers
Match the information on the left with the appropriate equation on the right.
solmaris [256]

Answer:

Step-by-step explanation:

1). Equation of a line which has slope 'm' and y-intercept as 'b' is,

y = mx + b

If slope 'm' = 1 and y-intercept 'b' = -3

Equation of the line will be,

y = x - 3

x - y = 3

2). Equation of a line having slope 'm' and passing through a point (x', y') is,

y - y' = m(x - x')

If the slope 'm' = 1 and point is (-1, 2),

The the equation of the line will be,

y - 2 = 1(x + 1)

y = x + 1 + 2

y = x + 3

x - y = -3

3). Equation of a line passing through two points (x_1, y_1) and (x_2,y_2) will be,

y-y_1=\frac{(y_2-y_1)}{(x_2-x_1)}(x-x_1)

If this line passes through (-2, 3) and (-3, 4),

y-3=\frac{(4-3)}{(-3+2)}(x+2)

y - 3 = -1(x + 2)

y = -x - 2 + 3

y = -x + 1

x + y = 1

4 0
2 years ago
Simplify the quotient (4.5 x 10^3)/(9 x 10^7 ). Write your answer in scientific notation. Show your work.
marishachu [46]
To answer the problem above, divide the numerical portion and the exponential portion of the given numbers. 4.5 divided by 9 is 0.5. Furthermore, 10^3 divided by 10^7 is 10^-4. The answer is 
                    
                                            0.5 x 10^-4

This may still be written in a standard form,
 
                                               5 x 10^-5

Thus, the answer is <em>5 x 10^-5</em>. 
                                    
5 0
3 years ago
Read 2 more answers
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