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3 years ago

What are the x and y intercepts for the graph of 4x - 3y = -12

Mathematics

2 answers:

vovangra [49]3 years ago

7 0

x intercept is where the line crosses the x axis or where y=0

y intercept is where the line crosses the y axis or where x=0

x intercept

set y=0

4x-3y=12

4x-3(0)=12

4x=12

divide by 4

x=3

the x intercept is 3

y intercept

set x=0

4x-3y=12

4(0)-3y=12

-3y=12

divide by -3

y=-4

the y intercept is -4

Elanso [62]3 years ago

6 0

X is 3 y is -4 lololololol sorry for all this extra stuff it has 20 be 20 words to submit answer

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Mike has 21 pounds of tomatoes and 9 pounds of mixed peppers from his garden that he will use to make sals.

Grace [21]

The number of batches of salsa that can be made = x = 6 batches

The number of bat tomato sauce that can be made = y = 3 batches

Step-by-step explanation:

We are given the system of equations:

$x+5y=21\\x+y=9$

where variable x represents the number of batches of salsa that can be made and y represents the number of bat tomato sauce that can be made.

We need to solve the systems to find the values of x and y.

Let:

$x+5y=21\,\,\,eq(1)\\x+y=9\,\,\,eq(2)$

Subtract both equations:

$x+5y=21\\x+y=9\\-\,\,\,-\,\,\,\,\,\,-\\------\\4y=12\\y=\frac{12}{4}\\y=3$

So, value of y=3

Putting value of y in eq(2) and finding value of x:

$x+y=9\\x+3=9\\x=9-3\\x=6$

So, value of x=6

The number of batches of salsa that can be made = x = 6 batches

The number of bat tomato sauce that can be made = y = 3 batches

Keywords: System of equations

Learn more about system of equations at:

#learnwithBrainly

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2 years ago

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2 years ago

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3 years ago

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2 years ago

What does y equal y-16-3y=0

Afina-wow [57]

Answer:

y = - 8

Step-by-step explanation:

y - 16 - 3y = 0

Group like terms

y - 3y - 16 = 0

Add similar elements: y - 3y = - 2y

- 2y - 16 = 0

Add 16 to both sides

- 2y - 16 + 16 = 0 + 16

Simplify

- 2y = 16

Divide both sides by - 2

$\frac{-2y}{-2}$ = $\frac{16}{-2}$

Simplify $\frac{-2y}{-2}$ : y

$\frac{-2y}{-2}$

Apply the fraction rule: $\frac{-a}{-b} = \frac{a}{b}$

= $\frac{2y}{2}$

Divide the numbers: $\frac{2}{2} = 1$

= y

Simplify $\frac{16}{-2}$ : - 8

$\frac{16}{-2}$

Apply the fraction rule: $\frac{-a}{-b} = \frac{a}{b}$

$-\frac{16}{2}$

Divide the numbers: $\frac{16}{2}$ = 8

= - 8

y = - 8

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3 years ago