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2 years ago

I need help with this problem :)

Mathematics

1 answer:

Crazy boy [7]2 years ago

5 0

Answer:

Replace all occurrences of y with 6x−3 in each equation.

Replace all occurrences of y in 18x−3y=9 with 6x−3 .

18x−3(6x−3)=9

y=6x−3

Simplify 18x−3(6x−3).

9=9

y=6x−3

Remove any equations from the system that are always true.

y=6x−3

Step-by-step explanation:

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Combine any like terms in the expression. If there are no like terms, rewrite the expression.

Verdich [7]

Answer:

Step-by-step explanation:

Note that teach term has the variable t in it. Also, note that if t is by itself, it actually means 1t. Combine the given constants:

5t + 1t - 2t

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= (6t) - 2t

= 4t

4t is your answer.

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2 years ago

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2 years ago

Could someone help me for this?

lina2011 [118]

Answer:

x = - $\frac{5}{3}$ , x = $\frac{5}{2}$

Step-by-step explanation:

to find the points of intersection equate the 2 equations , that is

7x - 15 = 10 + 12x - 6x² ( subtract 10 + 12x - 6x² from both sides )

6x² - 5x - 25 = 0 ← factor the quadratic on left side

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 6 × - 25 = - 150 and sum = - 5

the factors are - 15 and + 10

use these factors to split the x- term

6x² - 15x + 10x - 25 = 0 ( factor the first/second and third/fourth terms )

3x(2x - 5) + 5(2x - 5) = 0 ← factor out (2x - 5) from each term

(2x - 5)(3x + 5) = 0

equate each factor to zero and solve for x

3x + 5 = 0 ⇒ 3x = - 5 ⇒ x = - $\frac{5}{3}$

2x - 5 = 0 ⇒ 2x = 5 ⇒ x = $\frac{5}{2}$

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1 year ago

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2 years ago

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