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Artyom0805 [142]
3 years ago
15

Solve this system of linear equations. Separate

Mathematics
1 answer:
Elanso [62]3 years ago
4 0

Answer:

(-3, -3)

Step-by-step explanation:

1.) Rewrite the second equation so 3y is on one side of the equation:

3y=6+5x

2.) Substitute the given value of 3y (replacing 3y with 6+5x, since we know they equal each other) into the equation 17x=-60-3y

Should end up with this:

17x=-60-(6+5x)

3.) Solve 17x=-60-(6+5x)

Calculate Difference: 17x=-66-5x

Combine Like Terms: 22x = -66

Divided both sides by 22 to isolate and solve for x: -3

So We know x=-3, now we got to find the y value. We can use either the first or second equation to find y value, so lets use the second.

3y=6+5x

1.) We know that x=-3, so we can simply substitute x in the equation

3y=6+5x with -3

3y=6+5(-3)

2.) Solve 3y=6+5(-3)

Combine Like Term: 3y=6+-15

Combine Like Term Even More: 3y= -9

Divide by 3 on both sides to isolate and solve for y: y=-3

So now we know y=-3 and once again we know x=-3, so if we format that

(-3,-3)

^  ^

x  y

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garik1379 [7]

Answer:

D. a is equal to  \frac{1}{4}

Step-by-step explanation:

Let us assume that segment PQ is 8 units, so that its midpoint M is at 4 units to both P and Q.

Given that X is the midpoint of PM, this implies that X is at 2 units to both P and M.

Then;

PX = aPQ

⇒   = a x 8

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Therefore, a must be equal to \frac{1}{4}, so that;

PX = 8a

     = 8 x  \frac{1}{4}

     = 2 units

Thus, a is equal to  \frac{1}{4} is the correct option.

6 0
3 years ago
Find the 9th term of the arithmetic sequence with a 10 and d= -1/2
VLD [36.1K]

a=10

d=-1/2

nth term=a+(n-1)d

10+(9-1)(-1/2)

10-4 =6

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3 years ago
a 27 foot long wire stretches from the top of a vertical pole to a stake in the ground 21 feet from the foot of the pole. find t
Evgesh-ka [11]

Answer:

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Step-by-step explanation:

3 0
3 years ago
Help please and thank you!!!
max2010maxim [7]

Hello!

So, let's go over some information we know. We know that all the interior angles of a triangle add up to 180 degrees. We know that a line measures 180 degrees. We, therefore, know that angles which make up a line are supplementary, and must add up to 180 degrees.

So, first, we can find angle ABC. We can find this because angle ABC and ABT add up to 180 degrees, and we know the measure of ABT to be 125 degrees. Therefore:

ABC + 125 = 180

ABC = 55 degrees

Now, we can find angle ACB. We can find this as we have angle ABC and CAB, and angle ACB + ABC + CAB = 180 degrees (as they are the three interior angles of triangle ABC). ABC measures 55 degrees, and CAB 60 degrees. Therefore:

55 + 60 + ACB = 180

115 + ACB = 180

ACB = 65 degrees

Finally, we can find angle ACR based off of ACB, as ACB and ACR make up one line, and, therefore, add up to 180 degrees. ACB measures 65 degrees.

ACR + 65 = 180

ACR = 115 degrees

Therefore, your answer is choice 2, or 115 degrees.

Hope this helps!

4 0
3 years ago
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Which expression can be used to find the product of 27 x 86? (25 points)
svlad2 [7]

a). (20 x 80) + (20 x 6) + (7 x 80) + (7 x 6)

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