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e 6 https://www.mathxl.com/Student/PlayerHomework a Homework: Competency Builder

ID: 3232186 • Letter: E

Question

e 6 https://www.mathxl.com/Student/PlayerHomework a Homework: Competency Builder 5 Score: 0 of 1 pt x 11.2.11 Solve the system of equations by the subsinnon method. fill in the answer box to complete your choice. Select the correct choice below and, inecessary, O A. The soluson is (simply your asswer. Type an ordered pain B. There are infintely many sciusons O c. There is no solution. cack to select and enter your answerisl and then clickChock Answer All parts showing HW Score: 65%, 13 of 20 pts Question Help

Explanation / Answer

11.2.11) The two equations given are:

x + 8y = 28

3x + 4y = 4

From the first equation we can get the value of x

x = 28 - 8y

Substitute this value in second equation:

3(28 - 8y) + 4y = 4

84 - 24y + 4y = 4

84 - 20y = 4

20y = 80

y = 4

Substitute this y value in the first equation to get the value of x

x + 8*4 = 28

x = 28 - 32 = -4

So x = -4, y= 4

11.2.1) The two equations given are:

x + y =16

x = 3y

We can substitute the value of x from the second equation into the first equation

3y + y = 16

4y = 16

y = 4

Now we can substitute the value of y in the first equation to get the value of x:

x + 4 = 16

So x = 16 - 4 = 12

So x = 12, y = 4