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Ierofanga [76]
3 years ago
14

Harry had $32. He spent all the money buying three notebooks for x dollars each and four packs of index cards for y dollars each

. If Harry had bought five notebooks and five packs of index cards, he would have run short by $18. The following system of equations models this scenario: 3x 4y = 32 5x 5y = 50 Use the system of equations to solve for x and y. (8, 2) (1, 5) (2, 8) (5, 1).
Mathematics
1 answer:
sergiy2304 [10]3 years ago
3 0

Answer:

x = notebooks

y = indexboks

3x+4y=32 ( here is spent all money so I add 32 here )

5x+5y=50

by elemination method

3x+4y=32×5

5x+5y=50×4 ( here I'm going to eliminate y )

15 x+20y= 160

20x+20y= 200

- - = -

____________

-5x = -40

x = - 40 / -5

x = 8

here - × - = + so iam taking positive 8

now substitute the value of x in any equation

3×8+4y = 32

24 + 4y = 32

4y = 32-24

y = 8 / 4

y = 2

CHECKING

SUBSTITUTE BOTH VALUES IN ANY EQUATION

5×8+5×2 = 50

40 + 10 = 50

50 = 50

I SUBSTITUTE IN 2ND EQUATION

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Step-by-step explanation:

The first term is 2, so part of the recursive definition is ...

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These two parts of the definition match choice C.

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Find the 84th term of the arithmetic sequence -5,15,35, ...
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Answer:

The 84th term of the arithmetic sequence -5,15,35, ... is 1675.

Step-by-step explanation:

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vlabodo [156]

The equation of the graphed line 2x + 3y = -6 written in standard form is,\rm y= -\frac{2}{3}x -2 and for line 2x + 3y = 6 will be,\rm y = \frac{-2}{3}x+2

<h3>What is the equation?</h3>

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

a) 2x + 3y = -6

The line in which the standard form is found as;

Ax + By + C = 0

The typical form of a slope intercept is

y = mx+c

where m denotes the slope and b the line's y-intercept.

3y= -6-2x\\\\ y=\frac{-6-2x}{3}\\\\ y= -\frac{2}{3}x -2

To obtain the slope standard form, we rewrite. The obtained equation is in the form of the slope-intercept.

b) 2x + 3y = 6

The line in which the standard form is found as;

Ax + By + C = 0

The typical form of a slope intercept is

y = mx+c

where m denotes the slope and b the line's y-intercept.

\rm 3y= 6-2x \\\\ y=  \frac{6-2x}{3} \\\\ y = \frac{-2}{3}x+2

Hence, The equation of the graphed line 2x + 3y = -6 written in standard form is,\rm y= -\frac{2}{3}x -2

To learn more, about equations, refer;

brainly.com/question/10413253

#SPJ1

What is the equation of the graphed line written in standard form?

2x + 3y = -6, 2x + 3y = 6

Summary:

a. The equation of the graphed line 2x + 3y = -6 written in standard form is y= -2/3 x -2.

b. The equation of the graphed line 2x + 3y = 6 written in standard form is y= -2/3 x +2.

3 0
2 years ago
Lauren saves one nickel on Monday, three nickels on Tuesday, and nine nickels on Wednesday. If the pattern continues, how may ni
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Lauren will have 27 nickels.
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3 years ago
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Which fraction is not equivalent to 5/6?<br><br> A-15/18<br> B-20/30<br> C-10/12<br> D-30/36
ss7ja [257]

Answer: B. 20/30

Step-by-step explanation: 20/30 simplified to 2/3. Multiply each number by 2 to get 4/6. 4/6 is not the same number as 5/6.

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