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JulsSmile [24]
3 years ago
5

2x+3y=12 x-y=6 solve the following system equations

Mathematics
1 answer:
IgorC [24]3 years ago
5 0

Answer:

(6, 0)

Step-by-step explanation:

There are a few different methods to solve system of equations.  For this problem, you can use substitution by solving one of the equations for a variable and then substituting this expression into the other equation to solve for the remaining variable:

x - y = 6, add 'y' to both sides to solve for 'x':  x - y + y = 6 + y or x = 6 + y

Using the expression '6 + y' for the value of 'x' in the second equation:

2x + 3y = 12 or 2(6+y) + 3y = 12 or 12 + 2y + 3y = 12 or 12 + 5y = 12

Subtract 12 from both sides: 12 + 5y - 12 = 12 - 12 or 5y = 0 so y = 0

Now that you know the value of 'y', you can solve for 'x':

x = 6 + 0 or x = 6

Put the values of 'x' and 'y' into an ordered pair: (6,0).

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3 years ago
The graph of F(x) shown below resembles the graph of G(x) = x ^ 2 but it has been changed somewhat . Which of the following coul
sukhopar [10]

Answer:

f(x) = 3x^{2} + 2

Step-by-step explanation:

Given G(x) = x^{2}

As we can see, the graph of f(x) is 2 units above the graphof g(x) in vertical (vertical shift)

=> f(x) = ax^{2} + 2

As you can see, the graph of f(x) is stretched vertically by a dilation factor of 3

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3 years ago
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8 0
3 years ago
Compare. Write <br> 1/8 6/10
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4 0
2 years ago
Find the missing angle measures in the given rhombus.
jeyben [28]

Answer:

(1) = 38\°

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(3) = 90\°

(4) = 38\°

Step-by-step explanation:

The diagonals of a rhombus are perpendicular to each other, so angles (2) and (3) are equal 90°.

To find angle (1), we can use the sum of internal angles in the left triangle with angles 52°, (1), and (2):

52 + (1) + (2) = 180

(1) = 180 - 52 - 90

(1) = 38\°

The diagonals of a rhombus bisects the angles, to the angle next to the angle of 52° is also 52°, then, in the upper triangle, we have:

52 + (4) + 90 = 180

(4) = 38\°

3 0
3 years ago
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