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Gwar [14]
3 years ago
8

Is (7, -5) a solution to this system of equations?

Mathematics
2 answers:
Yanka [14]3 years ago
8 0
If you solve it the sides aren’t equal so it it not a solution to the system of equations
snow_lady [41]3 years ago
5 0

To see if (7,-5) is a solution to the system of equations then you have to plug them in.

We can make life simpler by first simplifying the equations then plugging (7,-5) into the equations. You must plug them into both to completely make sure.

2x-y = 19 (solving for y)

1. Subtract 2x from both sides.

-y = 19-2x

2. Divide both sides by -1.

y = -19+2x

xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx

4x+3y = 13

1. Subtract 4x from both sides.

3y = 13-4x

2. Divide both sides by 3.

y = 13/3-4/3x

xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx

Now go ahead and plug them in to the newly simplified equations. Start with the first equation (y = -19+2x).

(7,-5) => -5 = -19+2(7)

-5 = -19+(14)

-5 = (-5), this is TRUE so that means so far (7,-5) is a possible solution. Moving on to the next equation (y = 13/3-4/3x).

(7,-5) => -5 = 13/3-4/3(7)

-5 = 13/3-28/3

-5 = -15/3

-5 = -5, this is also TRUE so that means that (7,-5) IS a solution to this system of equations.

Answer is:

A. Yes

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The measure of an angle is 8 times the measure of its complement. tina writes an equation and finds the correct measure of each
pogonyaev
One of the unknown angles (let's called it n) has a complement (meaning their sum adds up to 90 degrees) and the other angle is 8 times the unknown angle (8n)

With all this information, you should have the equation:

n + 8n = 90

To solve, combine like terms to get:

9n = 90

Divide by 9 on both sides to isolate the variable n.

n = 10

Now we plug back in to find our angle measurements. The first angle, n, is 10 degrees. The second angle, 8n, is 8 * 10 which is 80; the second angle is 80 degrees. 
5 0
3 years ago
What two facts can you double to find 8x4? explain
almond37 [142]
2x4 + 2x2 = 32 because 2x4 equals 8 and then if you do 2x2 it equals 4.
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6 0
3 years ago
The distance from the Earth to Pluto is 4.67 x 10^9 miles. If a new flying machine can travel 1.92 x 10^5 miles per year, how ma
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Answer:

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Step-by-step explanation:

6 0
3 years ago
PLEASE HELP
Zinaida [17]

We want to identify different things on the given graph.

The solutions are:

A) (3, -1)

B) x = 4

C) x = y^2 + 2y + 4

D) x ⇒ ∞, y ⇒ ∞

   x⇒3, y⇒ -1

A) The first thing we want to identify is the vertex, we could say that a vertex is a point of symmetry. (like the minimum/maximum of a parabola). Here we clearly do not have a point of symmetry, as we only have half of a parabola, but if it was a complete one, the vertex would be at the blue point, in (3, -1)

B) This is the point where the graph intercepts the x-axis, x = 4.

C) we want to write the equation, we start with the general parabola, this time as a function of y:

x = a*y^2 + b*y + c

Remember that the x-itercept is at x = 4. then c = 4.

x = a*y^2 + b*y + 4

The y-value of the vertex is -1, while the general y-value of the vertex is:

y = -b/2a = -1

And evaluating the equation in this value, gives us:

x = a*(-1)^2 + b*-1 + 4 = 3

Then we have two equations:

-b/2a = -1

a + -b + 4 = 3

We can rewrite the first one as:

-b = -2a

b = 2a

Now we can replace this on the other equation:

a - 2a + 4  =3

-a + 4 = 3

-a = 3 - 4 = -1

a = 1

And b = 2a = 2*1 = 2

Then the equation of the parabola is:

x = y^2 + 2y + 4

D) We can see that as x grows, y increases, so we can say that:

x ⇒ ∞, y ⇒ ∞

And for the other limit we can see that as x tends to 3, y tends to -1, then:

x⇒3, y⇒ -1

If you want to learn more, you can read:

brainly.com/question/21685473

5 0
3 years ago
Beth is making fruit saladShe adds 5 grapes for every strawberriesshe uses 12 strawberries, how many grapes will use? Please hel
Serhud [2]

Answer:

She will use 60.

Step-by-step explanation:

12 x 5 = 60

Hope this helps ⭐

6 0
3 years ago
Read 2 more answers
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