Consider this system of equations. Which shows the second equation written in slope-intercept form? y = 3 x minus 2. 10 (x + thr

Question

7 days ago

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Consider this system of equations. Which shows the second equation written in slope-intercept form? y = 3 x minus 2. 10 (x + thr

ee-fifths) = 2 y y = 5 x + StartFraction 3 Over 10 EndFraction y = 5 x + 3 y = one-fifth x + StartFraction 3 Over 25 EndFraction y = one-half x + 6

Mathematics

2 answers:

Leona [12.6K] · Answer 1 · 2026-04-08T17:25:26+03:00

Leona [12.6K]7 days ago

8 0

Response:

The answer is B

Detailed explanation:

Can I be awarded Brainliest?

Leona [12.6K] · Answer 2 · 2026-04-08T17:23:18+03:00

Question

Consider this system of equations. Which shows the second equation written in slope-intercept form?

$y = 3x - 2.$

$10(x + \frac{3}{5} ) = 2y$

A. $y = 5x + \frac{3}{10}$

B. $y = 5x + 3$

C. $y = \frac{1}{5} x + \frac{3}{25}$

D. $y = \frac{1}{2} x + 6$

Response:

B. $y = 5x + 3$

Detailed explanation:

Given

Equation 1: $y = 3x - 2.$

Equation 2: $10(x + \frac{3}{5} ) = 2y$

Required:

Equivalent of equation 2

To achieve an equivalence of equation 2 (in slope-intercept form), we must first simplify it

$10(x + \frac{3}{5} ) = 2y$

Open the brackets

$10*x + 10 *\frac{3}{5} = 2y$

$10x + \frac{30}{5} = 2y$

Simplify the fractions

$10x + 6 = 2y$

Divide by 2

$\frac{10x}{2} + \frac{6}{2} = \frac{2y}{2}$

$5x + 3 = y$

Re-arrange

$y = 5x + 3$

Next, we compare options A through D with $y = 5x + 3$

A. is not equal to $y = 5x + 3$

Next, we check the second option

B.

$y = 5x + 3$ matches $y = 5x + 3$

This option represents the second equation in slope-intercept format.

We check for further options

C.

$y = \frac{1}{5} x + \frac{3}{25}$

Convert the fraction into a decimal

$y = 0.2x + 0.12$

This does not equal $y = 5x + 3$

D.

$y = \frac{1}{2} x + 6$

Convert the fraction to decimal

$y = 0.5x + 6$

This also does not equal to $y = 5x + 3$

Therefore, the only option equivalent to the second equation in slope-intercept form is Option B

Consider this system of equations. Which shows the second equation written in slope-intercept form? y = 3 x minus 2. 10 (x + thr

Hope this helps!