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3 years ago

Use the substitution method to determine the solution to the system of equations below. y-2x+2=1 6x - 3y = 3

Mathematics

2 answers:

vaieri [72.5K]3 years ago

7 0

Answer:

y = 2x - 1

Step-by-step explanation:

y - 2x + 2 = 1

6x - 3y = 3

$y - 2x + 2 = 1 \\ +2x - 2 +2x - 2\\y = 2x - 1$

Plug in for y:

6x - 3(2x - 1) = 3

6x - 6x + 3 = 3

Simplified, 3 = 3

zysi [14]3 years ago

5 0

Answer: this solution has infinite solutions

Step-by-step explanation:

original system:

y-2x+2 = 1

6x-3y = 3

Move 2 to right side of equation

y -2x = -1

-3y+6x = 3

solve for y in first equation

⇒ y = 2x - 1

insert y into second equation

⇒ -3(2x-1) + 6x = 3

simplify

⇒ -6x+3+6x = 3

simplify once more

⇒ 3 = 3

this solution has infinite solutions

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3 years ago

For which value of x is the equation 2(1 + x) = x + 3 true? A) 1 B) 2 C) 3 D) 4

amm1812

Answer:

A) 1

Step-by-step explanation:

To solve, just plug in the numbers to the equation for x until both sides are equal to each other.

Plug in 1:

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3 years ago

If the area A of a triangle is 72, and the height h is equal to the length of the base b, what is the length of the base?

alexgriva [62]

Answer:

option B

Step-by-step explanation:

let the height=x

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5 0

3 years ago

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givi [52]

Substitute 5 for g so...
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3 years ago

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iris [78.8K]

Answer:

Option B, 14.6 units

Step-by-step explanation:

Step 1: Find the distance of AB

$AB =$ $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

$AB =$ $\sqrt{(3 - 1)^2 + (5 - 3)^2}$

$AB =$ $\sqrt{(2)^2 + (2)^2}$

$AB =$ $2\sqrt{2}$ or 2.83...

Step 2: Find the distance of BC

$BC =$ $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

$BC = \sqrt{(3 -1)^2 + (-1 - 3)^2}$

$BC = \sqrt{(2)^2 + (-4)^2}$

$BC = \sqrt{4 + 16}$

$BC = \sqrt{20}$

$BC = 2\sqrt{5}$ or 4.47...

Step 3: Find the perimeter

AB is the same as AD and BC is the same as DC

$2(AB) + 2(BC)$

$2(2.83) + 2(4.47)$

$5.66 + 8.94$

14.6 units

Answer: Option B, 14.6 units

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3 years ago

Use the substitution method to determine the solution to the system of equations below. y-2x+2=1 6x - 3y = 3​

Use the substitution method to determine the solution to the system of equations below. y-2x+2=1 6x - 3y = 3