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Mathematics 19 Online
OpenStudy (anonymous):

Help with math! i will fan and medal

OpenStudy (anonymous):

Part 1: Explain, in complete sentences, how you would use the elimination method to solve the following system of equations. (3 points) Part 2: Provide the solution to the system. (1 point) 5x – 3y = 1 7x – 4y = 2

OpenStudy (anonymous):

good offer but....meh.

OpenStudy (anonymous):

For the part two x=2 and y=3

OpenStudy (anonymous):

please i need help i dont understand

OpenStudy (mathstudent55):

In the elimination method, you need to add the two equations and eliminate one variable. Since 5x + 7x = 12x, and -3y + (-4y) = -7y, just by adding the equations, no variable will be eliminated.

OpenStudy (mathstudent55):

In a case like this, you need to multiply one or both equations by numbers, in order to get a variable to get eliminated by adding the equations together.

Parth (parthkohli):

I don't see any lazy people here, eh?

OpenStudy (mathstudent55):

Look at the y terms in the two equations. One is -3y (in the first equation) and the other one is -4y (in the second equation). We need to multiply them by numbers that will make them the same number but with opposite signs, so that when we add the equations toghether they will add up to zero.

OpenStudy (mathstudent55):

-3 times -4 = 12. So we multiply the entire first equation by -4. -4 times 3 = -12. So we multiply the entire second equation by 3. Then the y terms will become -12y and 12y and they will add to zero, eliminating the y variable.

OpenStudy (anonymous):

ok, so thats part one

OpenStudy (mathstudent55):

Let's multiply the entire first equation by -4: (-4)5x - (-4)(3y) = (-4)1 -20x + 12y = -4 Now let's multiply the entire second equation by 3: (3)7x – (3)4y = (3)2 21x - 12y = 6 Now let's rewrite our two new multiplied equations: -20x + 12y = -4 21x - 12y = 6 -----------------(add) x = 2

OpenStudy (mathstudent55):

Now we have x = 2 Next we substitute 2 for x in the first original equation, and we solve for y. 5x – 3y = 1 5(2) – 3y = 1 10 - 3y = 1 -3y = -9 y = 3 Solution: x = 2, y = 3

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