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alexandr1967 [171]

3 years ago

12

Solve the system of linear equations by substitution

2 answers:

elena-s [515]3 years ago

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]3 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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3 years ago

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5x+20y=4<br> x=-4y+1<br><br> Solve for x/y

Andrews [41]

Hi there!

Looks like a lot of work is going on here.

Let's start by solving this equation for the x.

$5x + 20y = 4$

Step 1) Add -20y to both sides.

$5x + 20y + - 20y = 4 - 20y 5x = -20y + 4$

Step 2) Divide both sides by 5.

$\frac{5x}{5} = \frac{-20y + 4}{5}$

$x = -4y + \frac{4}{5}$

Final Answer:

$x = -4y + \frac{4}{5}$

Now, let's solve for y.

Step 1) Add -5x to both sides.

$5x + 20y + - 5x = 4 + - 5x 20y = -5x + 4$

Step 2) Divide both sides by 20.

$\frac{20y}{20} = \frac{-5x + 4}{20}$

$y = \frac{-1}{4} x + \frac{1}{5}$

Final Answer:

$y = \frac{-1}{4} x + \frac{1}{5}$

Hope this helps! :D

Hint - When you have two variables in an equation, and you want to solve for one, the other will end up in your answer. :)

6 0

3 years ago

Can you please help me!!

Molodets [167]

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8 0

3 years ago

What is the equation of the line shown in the graph?

postnew [5]

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (-3, 1) and (2, -4). Substitute:

$m=\dfrac{-4-1}{2-(-3)}=\dfrac{-5}{5}=-1$

Therefore we have the equation of a line

$y=-1x+b\to y=-x+b$

Put the coordinates of the point (-3, 1) to the equation:

$1=-(-3)+b$

$1=3+b$ <em>subtract 3 from both sides</em>

$-2=b\to b=-2$

<h3>Answer: y = -x - 2</h3>

4 0

3 years ago