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SOVA2 [1]
4 years ago
13

X + 2y = 3; x - y = 6 solving systems using elimination

Mathematics
1 answer:
mariarad [96]4 years ago
4 0

Answer:

x=5, y= -1

Step-by-step explanation:

Let's solve your system by substitution.

x+2y=3;x−y=6

Step: Solvex+2y=3for x:

x+2y=3

x+2y+−2y=3+−2y(Add -2y to both sides)

x=−2y+3

Step: Substitute−2y+3forxinx−y=6:

x−y=6

−2y+3−y=6

−3y+3=6(Simplify both sides of the equation)

−3y+3+−3=6+−3(Add -3 to both sides)

−3y=3

−3y

−3

=

3

−3

(Divide both sides by -3)

y=−1

Step: Substitute−1foryinx=−2y+3:

x=−2y+3

x=(−2)(−1)+3

x=5(Simplify both sides of the equation)

Answer:

x=5 and y=−1

I really hope this helped pls mark brainliest if you dont mind. thx :)

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Answer:

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3 0
3 years ago
What is 0.000345 expressed in scientific notation? 3.45 × 102 3.45 × 104 3.45 × 10–2 3.45 × 10–4 its science btw
8_murik_8 [283]

Answer:

3.45 × 10^–4

Step-by-step explanation:

7 0
3 years ago
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-6(1 - 5v) = 54<br>-67301 = 54<br>I don't think that is the anwer​
tatiyna
V=2
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3 years ago
1. Solve the rational equation quantity 4 times x plus 3 end quantity divided by 5 equals quantity 8 times x minus 1 end quantit
Vladimir [108]

Answer:

1. x = 8

2. x=-\dfrac{3}{2}

Step-by-step explanation:

1. Solve the rational equation

\dfrac{4x+3}{5}=\dfrac{8x-1}{9}

First, cross multiply:

9(4x+3)=5(8x-1)

Now, use distributive property:

36x+27=40x-5

Separate terms with x and without x into different sides of equation:

36x-40x=-5-27

Simplify:

-4x=-32

Divide by -4:

x=8

2. The rational function

f(x)=\dfrac{x-4}{2x+3}

This rational function is undefined for all values of x, for which the denominator is equal to 0. Find these values:

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This means that the line x=-\dfrac{3}{2} is a vertical asymptote for the rational function f(x).

4 0
3 years ago
Greg is training for the upcoming basketball season. His schedule this week allows him to complete at most 8 training sessions.
Sav [38]

Answer:

\left\{\begin{array}{l}x+y\le360\\ \\\dfrac{x}{45}+\dfrac{y}{35}\le 8\end{array}\right..

Step-by-step explanation:

Let x minutes be the time spent on skills and y minutes be the time spent on conditioning that Greg can complete this week.

1. To avoid excess fatigue, his coach requires Greg to spend no more than 360 minutes training in any week, then

x+y\le 360.

2. When Greg trains, he either spends 45 minutes on skills or 35 minutes on conditioning. If Greg spends x minutes on skills, then \dfrac{x}{45} is the number of skills training sessions. If Greg spends y minutes on conditioning, then \dfrac{y}{35} is the number of conditioning training sessions. His schedule this week allows him to complete at most 8 training sessions, then

\dfrac{x}{45}+\dfrac{y}{35}\le 8.

Therefore, the following system of inequalities can be used to determine the time spent on skills, x, and the time spent on conditioning, y, that Greg can complete this week

\left\{\begin{array}{l}x+y\le360\\ \\\dfrac{x}{45}+\dfrac{y}{35}\le 8\end{array}\right..

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3 years ago
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