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Vikki [24]
2 years ago
6

What is the solution to the system of equations?

Mathematics
1 answer:
motikmotik2 years ago
4 0

Answer:

a. it has no solution

b. you can only substitute by making either the 'x' or 'y' the subject of either of the two equations.

Step-by-step explanation:

3x - 9y = -13.............. eqn 1

x - 3y = -7................... eqn 2

from eqn 2

x - 3y = -7, substitute by making 'x' the subject

x = -7 + 3y.................. eqn 3

put eqn 3 into eqn 1

3x - 9y = -13

3( -7 + 3y) - 9y = -13

-21 + 9y - 9y = -13

9y - 9y = -13 + 21

0 = 8, which is not possible.

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Y varies directly as x if y is 2 when x is 8 then the constant of variation is 1/4
sp2606 [1]

Answer:

a. True.

Step-by-step explanation:

y = kx

y = 2 when x = 8 gives:

2 = 8 * k

k = 2/8 = 1/4.

6 0
2 years ago
Consider the equation
earnstyle [38]

a) true

b) false

c) true

Step-by-step explanation:

<h3>let's determine the first statement</h3><h3>to determine x-intercept </h3><h3>substitute y=0</h3>

so,

8x-2y=24

8x-2.0=24

8x=24

x=3

therefore

the first statement is <u>true</u>

let's determine the second statement

<h3>to determine y-intercept </h3><h3>substitute x=0</h3>

so,

8x-2y=24

8.0-2y=24

-2y=24

y=-12

therefore

the second statement is <u>False</u>

to determine the third statements

<h3>we need to turn the given equation into this form</h3><h2>y=mx+b</h2><h3>let's solve:</h3>

8x-2y=24

-2y=-8x+24

y=4x-12

therefore,

the third statement is also <u>true</u>

4 0
2 years ago
With a full 12-gallon tank of fuel, Dillon’s car can travel about 420 miles. At that rate, about how far can Dillon’s car travel
Xelga [282]
175 miles~~~~~~~~~~~~

3 0
3 years ago
2=5-5x (your answer must include the variable)
damaskus [11]

Answer: x=3/5

Step-by-step explanation:

4 0
2 years ago
The price of a technology stock has dropped to $9.71 today. Yesterday's price was $9.80. Find the percentage decrease.
Vadim26 [7]

Answer:

The percentage decrease = 0.9%

Step-by-step explanation:

  • Initial value = $9.80
  • Final value = $9.71

Using the formula

Percentage Decrease = [ (Initial Value - Final Value) / |Initial Value| ] × 100

                                    = [(9.80 - 9.71 ) / (9.80)] × 100

                                    = [0.09 / 9.80] × 100

                                    = 0.009 × 100  

                                    = 0.9%

Therefore, the percentage decrease = 0.9%

4 0
2 years ago
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