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2 years ago

How do I solve this problem using the substitution method x-3y=4 4x-2y=26

Mathematics

2 answers:

GalinKa [24]2 years ago

8 0

Answer:

x=7

y=1

Step-by-step explanation:

In order to use substitution you need to get one of the equations to have a variable by itself. I'm going to use the first one and get x by itself.

x-3y= 4 So firstly add the 3y to both sides since you want x alone.

+3y +3y

x=3y+4

Now that you have x alone you can plug this into the second equation for x.

4(3y+4)-2y=26

Next distribute the 4 to both terms inside the parenthesis.

4(3y)+4(4)-2y=26 Simplify.

12y+16-2y=26 Now add or subtract your like terms together (12y-2y).

10y+16=26 Next subtract 16 from both sides.

-16 -16

10y=10 Finally, to get y alone divide by 10 on both side.

y=1

To find x you plug y back into one of the equations you started with. I'm using x-3y=4 Again.

x-3(1)=4 Distribute the -3 to the one.

x-3=4 Now add 3 to both sides.

+3 +3

x=7

Nastasia [14]2 years ago

5 0

Top 1. Substitute 3y on both sides of the equation.
Bottom 2. Substitute 2y on both sides of the equation

3y and 2y cancel

Divide x by 4 and 26 by 4.

Is there die points on a graph or decimal?

I have not done this for years but there is many calculators that can show you step by step online. I recommend using these

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juin [17]

Answer:

Step-by-step explanation:

apply pythagoras theorem

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2 years ago

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Joey and Armando live on the same st as the park. The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando'

AleksandrR [38]

Let's start by assuming Armando's house is between Joey's and the park.

Let $x$ be the distance Joey walked to Armando's house.

<span>The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando's home. Then Joey and Armando walk 3/5 mile to the park.

</span> $\dfrac{9}{10} = x + \dfrac{3}{5}$

$x = \dfrac{9}{10} - \dfrac{3}{5} = \dfrac{9}{10} -\dfrac{6}{10} = \dfrac{3}{10}$

That's probably the answer they're looking for. But what if the park is between Joey and Armando's houses or Joey is between the park and Armando? (The latter isn't really possible with the given distances.)

Let $a, b, c$ be the distances between three collinear points like we have here. Our equation is really a few equations in one, something like

$\pm a \pm b = \pm c$

Let's get rid of the plus/minuses. Squaring,

$a^2 + b^2\pm 2ab = c^2$

$\pm 2ab = c^2-a^2-b^2$

$4a^2b^2 = (c^2-a^2-b^2)^2$

For us, that's a quadratic equation for $c^2$

$4(9/10)^2(3/5)^2= (c^2-(9/10)^2 - (3/5)^2)^2$

I'll skip right to the solutions,

$c^2=\dfrac{9}{100} \textrm{ or } c^2=\dfrac{9}{4}$

$c=\dfrac{3}{10} \textrm{ or } c=\dfrac{3}{2}$

We could have gotten the 3/2 just by adding 9/10+3/5 but this was more fun.

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Vlad1618 [11]

Answer:

120 cm squared

Step-by-step explanation:

$Area \:of \:the\: triangle \\ = \frac{1}{2} \times base \times height \\ \\ = \frac{1}{2} \times 10 \times 24 \\ \\ = 12 \times 10 \\ \\ = 120 \: {cm}^{2}$

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2 years ago

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If f(x) = 3x2 – 4 and g(x) = 2x - 6, what is g(f(2))?

saveliy_v [14]

Answer:

Step-by-step explanation:

find out f(2)

f(2)= (3×2×2) - 4= 8

then g(8) = 16 - 6= 10

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2 years ago

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Answer:

no solution

Step-by-step explanation:

5d - 8 = 1 + 5d

Add 9 to both sides

5d = 9 + 5d

Subtract 5d

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