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galina1969 [7]
3 years ago
10

a system of equations is shown below 7x + 3y= 22. 3x - 3y =18 what is the solution to the system of equations​

Mathematics
2 answers:
Marianna [84]3 years ago
6 0

Answer:

(4, -2)

Step-by-step explanation:

7x+3y= 22

3x-3y= 18

Add them in vertical columns. 7x + 3x = 10x. The 3y and the -3y cancel each other out. 22+ 18 = 40.

You're left with 10x = 40. Solve for x by dividing both sides by 10

x = 4

Plug in 4 into any of the original equations and solve for y.

7(4) + 3y =22.

28 + 3y =22

Subtract 28 on both sides

You're let with 3y = -6. Solve for y by dividing both sides by 3

y= -2

Put it together in coordinate point form. (4, -2)

Tju [1.3M]3 years ago
5 0

4,-2

distribute and combine like terms

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Find the sum of the arithmetic sequence.<br><br> -10, -7, -4, -1, 2, 5, 8
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3 years ago
Solve the given differential equation by undetermined coefficients. y'' 4y = 7 sin(2x)
kherson [118]

The solution to the given differential equation is yp=−14xcos(2x)

The characteristic equation for this differential equation is:

P(s)=s2+4

The roots of the characteristic equation are:

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Therefore, the homogeneous solution is:

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Notice that the forcing function has the same angular frequency as the homogeneous solution. In this case, we have resonance. The particular solution will have the form:

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If you take the second derivative of the equation above for  yp , and then substitute that result,  y′′p , along with equation for  yp  above, into the left-hand side of the original differential equation, and then simultaneously solve for the values of A and B that make the left-hand side of the differential equation equal to the forcing function on the right-hand side,  sin(2x) , you will find:

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8 0
2 years ago
What is the sum of 2 1/2, 3 1/4, and 7?
sattari [20]
51/4 is the correct answer
8 0
3 years ago
Read 2 more answers
−3 1/3 ÷ 9= What I need it now!
Contact [7]

Step 1. Convert 3 1/3 to improper fraction.

- 3 * 3 + 1/3 ÷ 9

Step 2. Simplify 3 * 3 to 9

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Step 3. Simplify 9 + 1 to 10

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Step 4. Use this rule: a ÷ b/c = a * c/b

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Step 5. Use this rule: a/b * c/d = ac/bd

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Step 6. Simplify 10 * 1 to 10

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Step 7. Simplify 3 * 9 to 27

-10/27


8 0
3 years ago
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