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3 years ago

PLEASE ANSWER IXL QUESTION,WILL GIVE BRAINLITIS!!!!! its attached

Mathematics

1 answer:

SpyIntel [72]3 years ago

6 0

Answer:

y=-x/3+7/3

Step-by-step explanation:

Use linear function: y=mx+b

m= -1/3

Substitue

m= -1/3,(8,-5)

5= -1/3 * (-8) +b

Solve the equation

5= -1/3 *(-8) +b

Rearrange unknown terms to the left side of the equation

-b= -1/3 * (-8) -5

Reduce the greatest common factor on both sides of the equation

b= 1/3 * (-8) +5

Remove the parentheses

b= -1/3 *8+5

Write as a single fraction

b= -8/3+5

Convert the expression into a fraction

b=-8/3+5/1

Expand the fraction to get the least common denominator

b= -8/3+5*3/1*3

Calculate product or quotient

b=-8/3+15/3

Write the numerators over the common denominator

b=-8+15/3

Calculate the sum or difference

b=7/3

Subsitute

m= -1/3,b=7/3

y= -1/3x+7/3

Rewrite the equation

y= -1/3x+7/3

Find the required form

y=-x/3+7/3

Hope this helps!!

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3 years ago

Solve – 6(x – 3) + x + 3 = -9 for x.

soldi70 [24.7K]

Answer:

In this equation, the value of x is equal to 6.

Step-by-step explanation:

We are given an algebraic equation in which we need to solve for x.

We can use several properties and algebraic methods to solve this equation.

$\displaystyle -6(x - 3) + x + 3 = -9$

Firstly, we want to use the distributive property to evaluate the first term in the equation: -6(x - 3).

$-6(x - 3) + x + 3 = -9\\\\-6x + 18 + x + 3 = -9$

By distributing the -6 through, we get -6x and positive 18. Then, we need to begin combining like terms. Let's start with our constants (or the terms without a variable).

$-6x + 18 + x + 3 = -9\\\\18 + 3 = 21\\\\-6x + x + 21 = -9$

Then, we can combine our terms with variables.

$-6x + x + 21 = -9\\\\-6x + x = -5x\\\\-5x + 21 = -9$

Now, we can use the subtraction property of equality which states that if we subtract a term from one side of an equation, we must also subtract it from the opposite side. Therefore, we want to get x by itself, so we can subtract 21 from both sides using the subtraction property of equality to do this.

$-5x + 21 = -9\\\\-5x + 21 - 21 = -9 -21\\\\-5x = -30$

Finally, we can use the division property of equality and divide both sides of the equation by -5 to isolate x.

$\displaystyle -5x = -30\\\\\frac{-5x}{-5} = \frac{-30}{-5}\\\\x = 6$

Therefore, by solving the multi-step equation, we solved that x = 6.

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3 years ago