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3 years ago

Y=4x-1Y-2=x i need help substitution method

Mathematics

1 answer:

Anton [14]3 years ago

7 0

Answer:

x = 1, y = 3

Step-by-step explanation:

x = y - 2, so y = 4 (y - 2) -1

solve normally now

y = 4 (y - 2) -1

y = 4y - 8 - 1 (distribute)

y = 4y - 9 (simplify)

+9 -y -y +9

9 = 3y

3 = y

y - 2 = x

(3) - 2 = x

x = 1

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Find the following equation

adoni [48]

Answer:

$y=\frac{-1}{2}x+7$

Step-by-step explanation:

Slope intercept form: $y=mx+b$ when $m$ is the slope of the line and $b$ is the y-intercept (the y-coordinate of the point the line crosses the y-axis)

1) Find the slope ( $m$ )

$m=\frac{y_2-y_1}{x_2-x_1}$ when the points are $(x_1,y_1)$ and $(x_2,y_2)$

We can use any two points that the table gives us to plug into this equation. For example, we can use the points (14,0) and (0,7):

$m=\frac{0-7}{14-0}\\m=\frac{-7}{14}$

Simplify the fraction

$m=\frac{-1}{2}$

So far, our equation looks like this:

$y=\frac{-1}{2}x+b$

2) Find the y-intercept ( $b$ )

The y-intercept is the y-coordinate of the point the line crosses the y-axis, or in other words, it's the value of y when x is equal to 0.

Looking at the table, we can see that y is equal to 7 when x is equal to 0, so, therefore, $b=7$ .

Now, this is our final equation after plugging in $m$ and $b$ :

$y=\frac{-1}{2}x+7$

I hope this helps!

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3 years ago

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3 years ago

Daniel is going to the fair with his friends he has a total of $25 total to spend if the mission fair is four dollars and a try

Lelu [443]

Answer:

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Step-by-step explanation:

Given as :

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3 years ago

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algol13

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3 years ago

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viva [34]

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answer
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3 years ago

Y=4x-1Y-2=x i need help substitution method​

Y=4x-1Y-2=x i need help substitution method