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2 years ago

The solution of equations system using the Substitution Method

Mathematics

1 answer:

AlexFokin [52]2 years ago

5 0

Answer:

True

Step-by-step explanation:

$\begin{cases} y = 3x \\\\ 2y + 2x = 24\end{cases}$

Plugging y = 3x in the equation 2y + 2x = 24, we find:

2(3x) + 2x = 24

6x + 2x = 24

8x = 24

x= 24/8

x = 3

Plugging x = 3 in the equation y = 3x we have:

y = 3*3 = 9

(x, y) = (3, 9)

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Apply the distributive property to the expression 7(2x - 8y - 6) to produce an equivalent expression.

MaRussiya [10]

Answer:

14x-56y-42

Step-by-step explanation:

Given data

We have the expression

7(2x - 8y - 6)

Open the bracket we have

14x-56y-42

Hence the equivalent expression is

14x-56y-42

4 0

3 years ago

Write an expression for the number of yards in f feet

koban [17]

1 yard = 3 feet

Then the to find the number of feet in a number of yards use the conversion factor, 1 = 3 feet / yard

number of feet = number of yards * 3 feet/yard

If the number of feet is f and the number of yards is y, you can write the expression in this way:

f = 3y

3 0

3 years ago

-6x+9-4x=14 The value for x

Nana76 [90]

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$- 6x + 9 - 4x = 14$

$- 6x - 4x + 9 = 14$

Collect like terms

$( - 6 - 4)x + 9 = 14$

$- 10x + 9 = 14$

Subtract sides 9

$- 10x + 9 - 9 = 14 - 9$

$- 10x = 14 - 4 - 5$

$- 10x = 10 - 5$

$- 10x = 5$

Divide sides by - 10

$\frac{ - 10x}{ - 10} = \frac{5}{ - 10} \\$

$x = - \frac{5}{10} \\$

$x = - \frac{5}{5 \times 2} \\$

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

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3 0

3 years ago

An equivalent expression for 9(2a+1)

Alexeev081 [22]

An equivalent expression is 18a+9

7 0

3 years ago

Read 2 more answers

Write the equation of the line that passes through the points (-4, -7)

Firlakuza [10]

Step-by-step explanation:

To find the equation of the line in slope intercept form, we must have the slope and the y intercept. Finding the slope is easy:

So now we want the y intercept. We can use either points to do this, so for simplicity let's use the second one since the numbers are smaller. First of all, we have:

y=-3x+b. Plugging in 6 for x and 2 for y we have, 2=-18+b which means b=20. Checking our answer we have:

y=-3x+20 which means 8=-3*4+20, which is true. So our equation is indeed y=-3x+20

PLZ MARK BRAINLEST

6 0

3 years ago