All categories

2 years ago

Solve the system by substitution. 2x - y = -3, 2x-2y = -2

Mathematics

1 answer:

Sonja [21]2 years ago

5 0

Answer:// Solve equation [1] for the variable y

[1] y = 2x - 3

// Plug this in for variable y in equation [2]

[2] -2•(2x-3) + 2x = 2

[2] - 2x = -4

// Solve equation [2] for the variable x

[2] 2x = 4

[2] x = 2

// By now we know this much :// Solve equation [1] for the variable y

[1] y = 2x - 3

// Plug this in for variable y in equation [2]

[2] -2•(2x-3) + 2x = 2

[2] - 2x = -4

// Solve equation [2] for the variable x

[2] 2x = 4

[2] x = 2

// By now we know this much :

y = 2x-3

x = 2

// Use the x value to solve for y

y = 2(2)-3 = 1

y = 2x-3

x = 2

// Use the x value to solve for y

y = 2(2)-3 = 1

Step-by-step explanation:

You might be interested in

If you bought a stock last year for a price of $67, and it has risen 12% since then, how much is the stock worth now, to the nea

lisabon 2012 [21]

Answer:$75.04

Step-by-step explanation:

last year price=$67

12% of 67

12/100 x 67

(12 x 67) ➗ 100

804 ➗ 100=8.04

Since it has risen by 12%

There new price is 67+8.04=75.04

4 0

2 years ago

Based on the records for the past several seasons, a sports fan believes the probability the red team wins is 0.45. The fan als

miskamm [114]

Answer:

9 more games

Step-by-step explanation:

180x.45=81 wins for the red team

180x.4=72 wins for the blue team

6 0

2 years ago

Read 2 more answers

A person sights a boat from 235 feet above sea-level as shown. If the angle of depression from the man to the boat is 21 , then

Evgen [1.6K]

Answer:

B = 612.2 ft

Step-by-step explanation:

Solution:-

- The elevation of person, H = 235 ft

- The angle of depression, θ = 21°

- We will sketch a right angle triangle with Height (H), and Base (B) : the boat's distance to the edge of the cliff and the angle (θ) between B and the direct line of sight distance.

- We will use trigonometric ratios to determine the distance between boat and the edge of the cliff, using tangent function.

tan ( θ ) = H / B

B = H / tan ( θ )

B = 235 / tan ( 21 )

B = 612.2 ft

4 0

2 years ago

Read 2 more answers

A line has a slope of -

Afina-wow [57]

Answer:

(-8, 8) and (2, 2)

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

(a) The parametric equations x = f(t) and y = g(t) give the coordinates of a point (x, y) = (f(t), g(t)) for appropriate values

Gnesinka [82]

Answer:

Step-by-step explanation:

a). Given a parametric equation, we are describing a set of coordinates based on the value of t. The variable t is called the parameter.

b) we have the following equations. x=t y=t^2, so in order for us to know where the object is at t=t' we must replace t with the specific value t'. Hence, when t=0 the object is at (0,0^2) = (0,0) (the origin). When t=6, the object is at (6,6^2) = (6,36).

c). To eliminate the parameter, we replace the parameter in one equation by using the second equation. Recall that we have that x=t. Then, by replacing in the second equation, we have the following

$y=t^2 = (x)^2 = x^2$

where $x\geq 0$

5 0

2 years ago