All categories

3 years ago

3x - 5y = -9 x + 2y = 8

Mathematics

2 answers:

OlgaM077 [116]3 years ago

5 0

Answer:

x=2 y,=3

(2,3)

Step-by-step explanation:

3x - 5y = -9

x + 2y = 8

We will use elimination. Multiply the second equation by -3

-3(x + 2y) = 8*-3

-3x -6y = -24

Add this to the first equation

3x - 5y = -9

-3x -6y = -24

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

0 - 11y = -33

Divide each side by -11

-11y/-11 = -33/-11

y =3

Now substitute into the second equation to find x

x+ 2y = 8

x+2(3) =8

x+6 =8

Subtract 6 from each side

x+6-6=8-6

x=2

Rus_ich [418]3 years ago

3 0

Answer: 3x-5y=-9 is simplified to y=3/5x+9/5

x+2y=8 is simplified to y=-1/2x+4

You might be interested in

Triangle ABC is located at A(-4,5), B (-4, -1), and C(-1,1). A translation of the triangle is located at A’(-1, 7), B’(-1, 1), a

astraxan [27]

Triangle ABC is translated 3 units right and 2 units up
by looking at point A (-4,5) which is translated to A'(-1,7)
we can tell by looking at the points that -4 is shifted by 3 units to the right ti reach -1 and 5 is shifted upwards by 2 units to reach 7

7 0

3 years ago

Solve by Elimination: x + 6y = 28 2x - 3y = -19

SIZIF [17.4K]

Answer:

x=-2

y=5

Step-by-step explanation:

x=28-6y

2x-3y=-19

(substitute the value of x)

2(28-6y)-3y=-19

y=5

x=28-6*5

x=-2

3 0

2 years ago

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unkno

spin [16.1K]

The other endpoint is (1, -17).

The midpoint formula is:

$m=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

Using our midpoint and endpoint, we have:
$(6, -11) = (\frac{11+x_2}{2}, \frac{-5+y_2}{2})
\\
\\6=\frac{11+x_2}{2} \text{ and } -11=\frac{-5+y_2}{2}
$

For the first equation (to find the x-coordinate) we will multiply both sides by 2:
$6\times2=\frac{11+x_2}{2}\times 2
\\
\\12=11+x_2$

Subtract 11 from both sides:
12 - 11 = 11+x₂ - 11
1 = x₂

For the second equation (the y-coordinate) we multiply both sides by 2:
$-11\times2=\frac{-5+y_2}{2}\times 2
\\
\\-22=-5+y_2$

Add 5 to both sides:
-22+5 = -5+y₂ + 5
-17 = y₂

This means that (x₂, y₂) is at (1, -17).

4 0

3 years ago

help me solve this. If your hair grows 2 cm per month and you don't cut it for 5 years, how many feet and inches will it grow?

Aleksandr [31]

120 cm. >> 3 feet and 11.24 inches

6 0

3 years ago

Read 2 more answers

22. Mona is in her garden jumping on stones (as shown below).

iris [78.8K]

$\large\green{\sf\boxed{Given:-}}$