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3 years ago

Solve the simultaneous equations 2x - 5y = 9 3x + 4y = 2

Mathematics

1 answer:

Dafna1 [17]3 years ago

7 0

Answer:

(2, - 1 )

Step-by-step explanation:

Given the 2 equations

2x - 5y = 9 → (1)

3x + 4y = 2 → (2)

Multiplying (1) by 4 and (2) by 5 and adding the result will eliminate the y- term

8x - 20y = 36 → (3)

15x + 20y = 10 → (4)

Add (3) and (4) term by term to eliminate y

23x + 0 = 46

23x = 46 ( divide both sides by 23 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (2)

3(2) + 4y = 2

6 + 4y = 2 ( subtract 6 from both sides )

4y = - 4 ( divide both sides by 4 )

y = - 1

solution is (2, - 1 )

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Answer:

840 cubic inches

Step-by-step explanation:

Given:

The wooden steps have two parts.

Both of which are rectangular prisms.

The top part is 6 inches tall, 5 inches wide and 10 inches long.

The bottom part is 6 inches tall, 9 inches wide and 10 inches long.

Question asked:

What is the volume of the steps?

Solution:

For top part

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As we know:

$Volume\ of\ rectangular\ prism =length\times width\times height$

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3 years ago

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olga55 [171]

Answer:

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Step-by-step explanation:

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3 years ago

Kristin spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost $15. If she bought a total of 7 then how many of each

Tpy6a [65]

Hi there!!

First, Let plain shirts be x
Let fancy shirts be y
x + y = 7
15x + 28y = 131
Multiply first equation by 28 to eliminate y:
28x + 28y = 196
15x + 28y = 131
Subtracting the two equations:
13x = 65
x = 5 
Substituting x to get y:
x + y = 7
5 + y = 7
y = 2 
Answer: 5 plain shirts and 2 fancy shirts

Hope this helps u!!
Have an amazing rest of ur day:)))

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