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2 years ago

Determine the solution to the system of equations below: y = -3x + 6 and 3y = -2x - 3

Mathematics

1 answer:

TiliK225 [7]2 years ago

4 0

Answer:

x = 3

y = -3

Step-by-step explanation:

We have two equations and are asked to solve for x and y.

y = -3x + 6

3y = -2x - 3

Substitute the y in the first equation in the second equation :

3(-3x + 6) = -2x - 3

Distribute :

-9x + 18 = -2x - 3

Solve for x by isolating it :

Subtract 18 from both sides :

-9x = -2x - 21

Add 2x to both sides :

-7x = -21

Divide -7 from both sides :

x = 3

Replace x in the first equation :

y = -3(3) + 6

y = -9 + 6

-9 + 6

y = -3

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Please show me how to solve for Xsquared - 21.75X = -15.75. I have the solution but do not know how to solve it.

Andreas93 [3]

$x^2-21.75x=-15.75 \\
x^2-21.75x+15.75=0$

Use the quadratic formula:
$x^2-21.75x+15.75=0 \\ \\
a=1 \\ b=-21.75 \\ c=15.75 \\ b^2-4ac=(-21.75)^2-4 \times 1 \times 15.75=473.0625-63=410.0625 \\ \\
x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}=\frac{-(-21.75) \pm \sqrt{410.0625}}{2 \times 1}=\frac{21.75 \pm 20.25}{2} \\
x=\frac{21.75-20.25}{2} \ \lor \ x=\frac{21.75+20.25}{2} \\
x=\frac{1.5}{2} \ \lor \ x=\frac{42}{2} \\
x=\frac{15}{20} \ \lor \ x=21 \\
x=\frac{3}{4} \ \lor \ x=21 \\
\boxed{x=\frac{3}{4} \hbox{ or } x=21}$

3 0

2 years ago

Can u guys help me please dont steal or guess ( will give brainiest for proof)

Novay_Z [31]

Answer:

30 feet

Step-by-step explanation:

To find the distance use a trigonometric ratio. Since we are looking for the hypotenuse and we are given the opposite side we will be using the ration of sine. We can set up the equation like this by using x as the measure we are looking for.

Sin of x=Opposite leg/Hypotnuse

Sin of 30= 15/x

Multiply by x and then divide by Sin of 30 to isolate the x.

x=15/Sin of 30

Plug it in to a calculator.

x=30

4 0

2 years ago

Write each statement as a conditional.

mart [117]

Answer:

b. Alberto can go to the movies if he washes the car.

Step-by-step explanation:

a. A triangle with all angles congruent is equilateral.

b. Alberto can go to the movies if he washes the car.

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1 year ago

The perimeter of a rectangle equals one and a half times its area. Express the length of the rectangle in terms of the width (us

WITCHER [35]

Answer:

Step-by-step explanation:

let x and y be length and width of rectangle.

Perimeter=2(x+y)

area=xy

2(x+y)=1/2 xy

4(x+y)=xy

4x+4y=xy

x y-4y=4 x

y(x-4)=4 x

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

4 0

2 years ago

Pam bought 50 kg of sugar. She used 10 kg of sugar. What percentage of sugar was left? (step by step answer would be appreciated

galben [10]

Answer:

80%

Step-by-step explanation:

50 x 50 would be 100 and 50kg=100% and 10 x 2 = 20 so you used 20% therefore you have 80% left.

8 0

3 years ago

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