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Darina [25.2K]
3 years ago
10

I need to solve these systems using substitution.

Mathematics
1 answer:
Georgia [21]3 years ago
8 0

y is some number and it is equal to -4x+2

y being that same number is also equal to x-3

therefore, we can equate -4x+2 and x-3 to get x-3 = -4x+2

This is the same as starting with y = -4x+2 and replacing the y with x-3

----------------

Let's solve for x

x-3 = -4x+2

x-3+4x = -4x+2+4x .... add 4x to both sides

5x-3 = 2

5x-3+3 = 2+3 .... add 3 to both sides

5x = 5

5x/5 = 5/5 .... divide both sides by 5

x = 1

With this x value, you can now find the y value. Pick any equation that has x and y in it. If we picked the first equation, then

y = -4x+2

y = -4*1+2 ... plug in x = 1

y = -4+2

y = -2

Or we can pick the second equation

y = x-3

y = 1-3 .... plug in x = 1

y = -2

-------------------------------------------------------------------------

<h3>The solution to the system is (x,y) = (1, -2)</h3>

Graphing the two lines will have them intersect at this location.

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Stella [2.4K]

Answer:

The new ratio is \frac{7}{3} ⇒ (D)

Step-by-step explanation:

<em>The given information is</em>

  • 6 parts of yellow paint with 3 parts of blue paints to make green paint
  • The yellow paint adds by 1 part

We need to find the ratio of yellow to blue

<em>Let us find the correct answer</em>

∵ The yellow = 6 parts

∵ The yellow adds by 1 part

∴ The yellow = 6 parts + 1 parts = 7 parts

∵ The blue = 3 parts

∵ The ratio of yellow to blue = \frac{yellow}{blue}

∴ The ratio of yellow to blue = \frac{7}{3}

The new ratio is  \frac{7}{3}

7 0
3 years ago
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tangare [24]
He has a total of 40

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he has a total of $20 left

mark brainliest
3 0
3 years ago
Use the graph of f(x) to write its equation. y! X​
e-lub [12.9K]

Answer:

y = |x + 2|

Step-by-step explanation:

given the straight shape, it must be a linear function, but the "bend" in it indicates that an absolute value is being used.

So to start we can say: y = |x|

But that's not sufficient, as it would show that bend being at 0, 0. Instead, we need to translate it two units to the left, giving us:

y = |x + 2|

4 0
3 years ago
Nitrogen makes up about 78% of air. If you have 2 L of air, how many liters of nitrogen are in the air?
NemiM [27]

Answer:39%

Step-by-step explanation:

78/100÷2

78/100×1/2

=39

5 0
3 years ago
The clock was exactly on time at 7am at 1pm the clock was 228 seconds late at that rate how slow was the clock half an hour
yan [13]

Answer:

19 seconds.

Step-by-step explanation:

Given that the clock was exactly on time at 7am, and at 1pm the clock was 228 seconds late, to determine, at that rate, how slow was the clock half an hour, the following calculation must be performed:

1 PM = 13:00

13 - 7 = 6

228/6 = 38

38/2 = 19

Thus, every half hour the clock is delayed 19 seconds.

4 0
2 years ago
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