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notsponge [240]
2 years ago
13

Which system of equations has the solution (4,−2)?

Mathematics
1 answer:
Marat540 [252]2 years ago
7 0

Answer:

A)

Step-by-step explanation:

To find the answer we must solve each of the systems separately. Starting with the first one:

x + y = 2

2x - y = 10

We must find what x or y is equal to and then replace it in the second equation. I'll go with y as it seems easier:

x + y = 2

y = 2 - x

Now that we found y we replace it in the second equation this way. Be careful with the signs, the minus with change our signs:

2x - (2 - x) = 10

2x - 2 + x = 10

3x = 12

x = 12/3

x = 4

Now that we have x, we replace the variable with its value in one of the equations. Again, for simplicity I'll go with the one that seems easier.

4 + y = 2

y = 2 - 4

y = - 2

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I didnt know but i worked it out and searched it up and i got this

Step-by-step explanation:

(2a+4c-5b+2a+5b-4c)

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The slope-intercept form of a linear equation is y=mx + b, where x and y are
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Answer:

m = \frac{y-b}{x}

Step-by-step explanation:

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3 years ago
A competitive diver dives from a 33-foot high diving board. The height of the diver in feet after 't' seconds is given by u(t) =
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Answer:

t  = 0.375s

Step-by-step explanation:

Given

h(t) = -16t^2 + 4t + 33 --- driver 1

Rate = 2ft/s -- driver 2

height = 33ft

Required

The time they passed each other

First, we determine the function of driver 2.

We have that:

Rate = 2ft/s and height = 33ft

So, the function is:

h_2(t) = Height - Rate * t

h_2(t) = 33 - 2t

The time they drive pass each other is calculated as:

h(t) = h_2(t)

-16t^2 + 4t + 33= 33 - 2t

Collect like terms

-16t^2 + 4t + 2t= 33 - 33

-16t^2 + 6t= 0

Divide through by 2t

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7 0
3 years ago
A student has 10 coins in her pocket that have a value of $0.85. The coins are either
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Answer:

\left\{\begin{matrix}x+y=10\\ 0.05x+0.10y=0.85\end{matrix}\right.

Step-by-step explanation:

<u>System of Equations</u>

Let's call:

x = number of nickels in the student's pocket

y = number of dimes in the student's pocket

Each nickel has a value of $0.05, so x nickels have a value of 0.05x

Each dime has a value of $0.10, so y dimes have a value of 0.10y

The student has a total of 10 coins, thus:

x+y=10

The total value of the coins is $0.85, thus

0.05x+0.10y=0.85

The system of linear equations that represents this scenario is:

\left\{\begin{matrix}x+y=10\\ 0.05x+0.10y=0.85\end{matrix}\right.

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