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olchik [2.2K]
3 years ago
10

Y=4x-9 y=x-3 solve by substitution

Mathematics
2 answers:
Arisa [49]3 years ago
7 0

Answer:

x=2

Step-by-step explanation:

x-3=4x-9

x=4x-6

-3x=-6

x=2

taurus [48]3 years ago
5 0

Answer:

x = 2 y = -1

Step-by-step explanation:

let y = 4x -9 .................. eqn 1

y = x - 3 ........................... eqn 2

substitute for y = x - 3 in eqn 1

we have ,

y = 4x -9.................... eqn 1

i.e

x - 3 = 4x - 9

collect the like terms

-3 + 9 = 4x - x

6 = 3x

divie both sides by 3

x = 2

now put x = 2 in equation (2)

from

y = x - 3 .............eqn 2

y = 2 - 3

y = -1

therefore x = 2 y = -1

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Indicate the equation of the given line in standard form. The line through (2, -1) and parallel to a line with slope of 3/4
Ket [755]
Well, for a line with a slope of 3/4, any other parallel line to it, will also have the same slope of 3/4

so if the line through (2, -1) is parallel to it, it has a slope of 3/4 as well

\bf \begin{array}{lllll}
&x_1&y_1\\
%   (a,b)
&({{ 2}}\quad ,&{{ -1}})\quad 

\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{3}{4}
\\\\\\
% point-slope intercept
y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad 
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7 0
3 years ago
I NEED HELP WITH THESE TWO QUESTIONS PLZ DO NOT ANSWER IF YOU CANNOT EXPLAIN THE ANSWER
Murljashka [212]

9514 1404 393

Answer:

  1. asymptotes: x=-6, x=6, y=0; zero: x=0

  2. 20 blue fish

Step-by-step explanation:

1. The vertical asymptotes are where the denominator is zero. It factors as (x-6)(x+6), so will have zeros at x=-6 and x=6.

The horizontal asymptote is at the limit when x goes to infinity. Here, the ratio of highest-degree terms is 6/x, so the value goes to zero as x gets large.

The zero is where the numerator is zero, at x=0.

In summary:

  • vertical asymptotes: x = ±6
  • horizontal asymptote: y = 0
  • zero: (0, 0)

__

2. 60% are red, so 40% are blue. The difference in percentages is 60%-40% = 20%. The percentage of blue fish (40%) is twice the difference (=2×20%), so the number of blue fish is twice the difference in numbers.

  blue fish = 2×10 = 20 fish

<em><u>Check</u></em>

There are then 20+10=30 red fish, so 20+30=50 fish total. Reds are 30/50 = 60% of the total.

<u><em>Additional comment</em></u>

I find it often works well to work with ratios, which I can often do in my head. Other folks like to see equations. Here, we could write equations like ...

  r = 60%(r + b) . . . . reds are 60% of the total

  r - b = 10 . . . . . . . . 10 more reds than blues

We want the value of b, so we can eliminate r by substituting for it:

  r = 10 + b . . . . from the second equation above

  (10 +b) = 0.60((10 +b) + b) . . . . substitute for r

  10 +b = 6 + 1.2b . . . simplify

  4 = 0.2b . . . . subtract b+6

  20 = b . . . . . . multiply by 5 (there are 20 blue fish)

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mr Goodwill [35]

Answer:

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New expression:    7/3 + 7/2

Find a common denominator.  Both denominators can go into 6.

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ss7ja [257]

Answer:

A, B, C, and D, all options are correct.

A is correct because,

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2 years ago
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