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SSSSS [86.1K]
2 years ago
14

Given the system of equations, what is the solution? 2x + y = 7 2x - 3y = -1

Mathematics
2 answers:
eduard2 years ago
5 0

Answer: Point Form - (5/2, 2) Equation Form - 5/2, y = 2

Step-by-step explanation:

Lana71 [14]2 years ago
5 0

Answer:

(\frac{5}{2}, 2)

Step-by-step explanation:

Hi there!

We are given this system of equations:

2x + y = 7

2x - 3y = -1

And we want to find the solution

There are multiply ways to solve systems of equations, but let's solve this one by elimination, where we will add the two equations together to clear one of them, solve for the un-cleared variable, and then use the value of the un-cleared variable to solve for the cleared one

Before clearing a variable, we need to make sure that the signs on the variables are opposites; for example, -3 and 3, which will add together to get 0

We can multiply the equations beforehand if needed in order to manipulate the numbers.

For example, we can multiply the second equation by -1 in order to switch the signs of each number in that equation:

-1(2x-3y=-1)

-2x+3y=1

Now the signs in front of x are 2 and -2, so we can add the equations together to clear them:

2x + y = 7

-2x + 3y = 1

Add the equations together

4y = 8

Divide both sides by 4

y=2

Now let's use 2 as y to solve for x

In the first equation, substitute 2 for y:

2x + 2 = 7

Subtract 2 from both sides

2x = 5

Divide both sides by 2

x=\frac{5}{2}

As a point, the answer is (\frac{5}{2}, 2)

Hope this helps!

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swag

Step-by-step explanation:

8 0
3 years ago
This year a softball coach raise $1200 for new equipment that is 4% less then he raise last year how much did he raise last year
charle [14.2K]
1200*96%
1200 \times 0.96
8 0
3 years ago
Hello, Can someone please explain on how to do this? thank you!
Marrrta [24]
Steps:

1) determine the domain

2) determine the extreme limits of the function

3) determine critical points (where the derivative is zero)

4) determine the intercepts with the axis

5) do a table

6) put the data on a system of coordinates

7) graph: join the points with the best smooth curve

Solution:

1) domain

The logarithmic function is defined for positive real numbers, then you need to state x - 3 > 0

=> x > 3 <-------- domain

2) extreme limits of the function

Limit log (x - 3) when x → ∞ = ∞

Limit log (x - 3) when x → 3+ = - ∞ => the line x = 3 is a vertical asymptote

3) critical points

dy / dx = 0 => 1 / x - 3 which is never true, so there are not critical points (not relative maxima or minima)

4) determine the intercepts with the axis

x-intercept: y = 0 => log (x - 3) = 0 => x - 3 = 1 => x = 4

y-intercept: The function never intercepts the y-axis because x cannot not be 0.

5) do a table

 x                          y = log (x - 3)

limit x → 3+            - ∞

3.000000001        log (3.000000001 -3) = -9

3.0001                  log (3.0001 - 3) = - 4

3.1                       log (3.1 - 3) = - 1

4                          log (4 - 3) = 0

13                       log (13 - 3) = 1

103                     log (103 - 3) = 10

lim x → ∞             ∞

Now, with all that information you can graph the function: put the data on the coordinate system and join the points with a smooth curve.
7 0
3 years ago
Read 2 more answers
Which expression can be used to solve 3/5 divide by 7/10
kramer

Answer:

\frac{3}{5} *\frac{10}{7}  

=  \frac{30}{35} =\frac{6}{7}

7 0
3 years ago
What is the solution to the system of equations graphed below?<br><br> y=x+3<br> y=3x+1
Mademuasel [1]

Answer:

(1, 4)

Step-by-step explanation:

y=x+3

y=3x+1

y=x+3

x+3=3x+1

x=3x-2

-2x=-2

x=1

y=1+3

y=4

8 0
3 years ago
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