All categories

3 years ago

Identify the type of solution for the following system of equations. y = 3x + 8

Mathematics

2 answers:

Nat2105 [25]3 years ago

8 0

Answer:

No solution

Step-by-step explanation:

Given the 2 equations

y = 3x + 8 → (1)

y = - 7 + 3x → (2)

Substitute y = 3x + 8 into (2)

3x + 8 = - 7 + 3x ( subtract 8 from both sides )

3x = - 15 + 3x ( subtract 3x from both sides )

0 = - 15 ← not possible

This indicates the system has no solution

andriy [413]3 years ago

6 0

Answer: No solution

Step 1: Choose which method you would like to use to solve

Though we can solve using either substitution or elimination, we will use substitution for this one

Step 2: Substitute y for y

-7+3x=3x+8

Step 3: Subtract 3x on both sides

-7+3x=3x+8
-3x=-3x
_________
-7=8

Though we would usually use the x value to solve for y, in this case the x values canceled each other out. We are now left with 2 numbers set equal to each other, and this equation is false. Since -7 does not equal 8, the system of equation have no solution.

Hope this helps comment below for more questions :)

You might be interested in

Question is down below

mr Goodwill [35]

The correct answer would be B.

7 0

3 years ago

Read 2 more answers

Is 144 a perfect square?

garri49 [273]

Answer:

Yes

Step-by-step explanation:

Because its the square root of 12

4 0

2 years ago

Read 2 more answers

EXPLAIN THE ERROR Cody was given two points (1/2,4) and (2/3,1), on a line and asked to create a linear equation in standard for

inessss [21]

Answer:

Cody made a mistake when calculating the slope of the line and this affected every other steps after than.

She divided -3 by 6 instead of -3 by 1/6

Step-by-step explanation:

Given

$(x_1,y_1) = (\frac{1}{2},4)$

$(x_2,y_2) = (\frac{2}{3},1)$

<em>See attached for steps</em>

Required

Explain Cody's error

<em>Cody made a mistake when calculating the slope of the line and this affected every other steps after than.</em>

See Proof

Slope (m) is calculated as thus:

$m =\frac{y_2 - y_1}{x_2 - x_1}$

$m =\frac{1 - 4}{\frac{2}{3} - \frac{1}{2}}$

$m =-\frac{ 3}{\frac{1}{6}}$

$m = -3/\frac{1}{6}$

$m = -3 * 6$

$m = -18$

This is in contrast to $m = -\frac{1}{2}$ , calculated by Cody

Solving further to determine the equation.

$y - y_1 = m(x - x_1)$

Where

$(x_1,y_1) = (\frac{1}{2},4)$

$m = -18$

$y - 4 = -18(x - \frac{1}{2})$

$y - 4 = -18x + 9$

Collect Like Terms

$y + 18x = 9 + 4$

$y + 18x = 13$

6 0

3 years ago

PLEASE HELP QUICKLY I NEED HELP LESS THEN 5 MINUTES ILL GIVE BRAINLIEST I ONLY HAVE 5 MINUTES LEFT HELP IM FREAKING DESPERATE

yKpoI14uk [10]

Answer:

it would be C.) no distance was covered

Step-by-step explanation:

because the graph did not move on the y-axis

hope this helps

3 0

3 years ago

(Math) How do you describe a function? Must be in 3 complete sentences!

Alla [95]

A function could be linear or not. Is the rate of change consistent, increasing, or decreasing? Is does the symbol have one minimum value or maximum value, or several such values?

5 0

2 years ago