All categories

3 years ago

Solve this system of equations using the substitution method.

Mathematics

1 answer:

Bingel [31]3 years ago

5 0

Answer:

x = 1.2

y = 6.6

Step-by-step explanation:

1) y= -2x+9

2) 8x-3=y

Substitute y in equation 1 using y in equation 2.

8x - 3 = -2x + 9

+ 3 on both sides

8x = -2x + 12

+ 2x on both sides

10x = 12

x = 1.2

To find y, plug in x

8x - 3 = y

9.6 - 3 = y

6.6 = y

Hope this helps :)

You might be interested in

I need help with this it’s geometry Pythagorean theorem

Trava [24]

Answer:

E)82

Step-by-step explanation:

The formula is

A^2 + B^2= C^2

the two sides that make up the right angle is always A and B

3 0

3 years ago

Read 2 more answers

Ten students begin college at the same time. The probability of graduating in four years is 63%. Which expanded expression shows

Lynna [10]

Answer: the answer is a!

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Solve the inequality <br> r/6 < or equal to 3

RSB [31]

R is greater then or equal to18

6 0

3 years ago

What is the value of x that makes the given equation true?

Doss [256]

Hello there!

The correct answer is C

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

x - 3x = 2(4 + x)
Distribute the right side
x - 3x = (2)(4)+(2)(x)
x - 3x = 8 + 2x
Combine like terms
x - 3x - 2x = 8
-4x = 8
Divide both sides by -4
-4x/4 = 8/4
x = -2

Hence,
The correct answer is c

Have a nice day!

6 0

4 years ago

Read 2 more answers

If the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2:3

horrorfan [7]

Answer: The correct option is (B) 24 : 25.

Step-by-step explanation: Given that the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2 : 3.

We are to find the ratio of the area of R to the area of S.

Let 2x, 3x be the sides of rectangle R and y be the side of square S.

Then, according to the given information, we have

$\textup{Perimeter of rectangle R}=\textup{Perimeter of square S}\\\\\Rightarrow2(2x+3x)=2(y+y)\\\\\Rightarrow 5x=2y\\\\\Rightarrow \dfrac{x}{y}=\dfrac{2}{5}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Therefore, the ratio of the area of R to the area of S is

$\dfrac{2x\times3x}{y\times y}\\\\\\=\dfrac{5x^2}{y^2}\\\\\\=6\left(\dfrac{x}{y}\right)^2\\\\\\=6\times\left(\dfrac{2}{5}\right)^2~~~~~~~~~~~[\textup{Using equation (i)}]\\\\\\=\dfrac{24}{25}\\\\=24:25.$

Thus, the required ratio of the area of R to the area of S is 24 : 25.

Option (B) is CORRECT.

6 0

4 years ago