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klio [65]
3 years ago
9

the sum of two numbers is 35. the second number, y, is equal to 4 times the first number , x. which system of linear equations r

epresent the two numbers?
Mathematics
1 answer:
ANTONII [103]3 years ago
7 0

The system of linear equations x + y = 35 and y = 4x represents the two numbers

<u>Solution:</u>

Given that, The sum of two numbers is 35  

The second number, y, is equal to 4 times the first number "x"

We have to find which system of linear equations represent the two numbers?  We have two conditions for two variables, so we can obtain two equations, which means a system of equations.

Now, 1st condition ⇒ sum of two numbers is 35 ⇒ x + y = 35  

And, 2nd condition ⇒ second number is 4 times the first number ⇒ y = 4x  

Hence, the equations, x + y = 35 and y = 4x represents the given numbers.

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*******ASAP******
alina1380 [7]

Answer:

Part A: We have the points A = ( 1,3 ) , B = ( 3,1 ) and C = ( 3,-3 ).

We will first find the equation of line AB and AC.

Now, the slope of AB is \frac{1-3}{3-1} =\frac{-2}{2} =-1.

So, substituting in y = mx + b along with the point ( 1,3 ) gives,

3 = -1 + b i.e. b = 4.

So, the equation of AB is y = -x + 4.

Further, slope of AC is \frac{-3-3}{3-1} =\frac{-6}{2} =-3.

Again, substituting in y = mx + b along with the point ( 1,3 ) gives,

3 = -3 + b i.e. b = 6

So, the equation of AC is y = -3x + 6.

Using 'zero test', we get that,

y = -x + 4 gives 0 = 4, which is not true.

y = -3x + 6 gives 0 = 6, which is not true.

Hence, the solution region will be away from the origin as shown in the figure 1 below.

Thus, we get the system y>-x+4 and y>-3x+6 containing point B and C.

Part B: We have the equations y = -x + 4 and y = -3x + 6.

Substitute the points B = ( 3,1 ) and C = ( 3,-3 ) into these equations respectively, we get,

y = -x + 4 gives y = -3 + 4 i.e. y = 1

y = -3x + 6 gives y = -3 × 3 + 6 i.e. y = -9 + 6 i.e. y = -3.

Hence, points B and C are the solutions of the system in Part A.

Part C: After plotting y>2x+5, we ca see from the second figure that the points included in the shaded region are D = ( -4,2 ) and E = (-1, 5).

So, Lisa is allowed to attend the schools D and E.

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3 years ago
Which decimal is equivalent to -8/15
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Answer:

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Step-by-step explanation:

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An item on sale cost 80% of the original price. If the original was$75.00 what is the sale price
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Answer:

Step-by-step explanation:

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Write a system of equations and then solve by the method of your choice. Reserved seat tickets for the football game cost $4.00
amid [387]

Given :

Reserved seat tickets for the football game cost $4.00 each and general admission tickets cost $3.00 each.

After the game is over, the turnstile count shows 1787 people attended the game. The total receipts were $5792.

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The number of each general admission tickets sold.

Solution :

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Therefore, the number of each general admission tickets sold are 1356.

Hence, this is the required solution.

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