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2 years ago

Solve the system of linear equations by substitution

2 answers:

7 0

There is the equal values method, so you can do:

x-4 = 4x-10 (remove x from both sides)
-4 = 3x -10 (add ten to both sides)
6 = 3x (devide by 3x)
2 = x

Check: (by plugging it into the equation)
y = 2-4 and y = 8-10
y = -2 and y = -2
that's matches so it is correct...
YOUR ANSWER IS:
(2, -2)

I hoped I helped sort things out, and have a great day!

Anit [1.1K]2 years ago

5 0

Y = x-4
y = 4x-10

Compare both the equations,
4x-10 = x-4
4x-x = 10-4
3x = 6
x = 6/3
x = 2

Now, substitute it in 1st equation,
y = 2-4 = -2

In short, Your Answer would be (2, -2)

Hope this helps!

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Which is the value of this expression when a=5 and k=-2

Zinaida [17]

Answer:

Option C is correct.

Step-by-step explanation:

We are given the expression:

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Putting the values and solving

$=(\frac{3^2*5^{-2}}{3*5^{-1}})^-2\\=(\frac{3^{2-1}}{5^{-1+2}})^-2\\=(\frac{3^{1}}{5^{1}})^-2\\\\=(\frac{3}{5})^-2\\if \,\,a^{-1} \,\,then\,\, 1/a\\=\frac{(3)^{-2}}{(5)^{-2}}\\ Can\,\,be\,\,written\,\,as\\\\=\frac{(5)^{2}}{(3)^{2}} \\=\frac{25}{9}$

Option C is correct.

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2 years ago

A gardener is planting two types of trees:Type A is three feet tall and grows at a rate of 15 inches per year.Type B is four fee

Sliva [168]

First, construct two equations.
Then, equal the two equations to each other like this -

x will be the years.

Type A. Type B

3x + 15 = 4x + 10
- 15. - 15

3x = 4x - 5
-4x. -4x

-x = -5
-x/-1 = -5/-1
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Check:

3(5) + 15 = 4(5) + 10
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