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Dahasolnce [82]
3 years ago
9

To solve the system of equations below, Elena begins by multiplying the first equation by 5.

Mathematics
1 answer:
zheka24 [161]3 years ago
5 0

Answer:

x = -2

y = 6

Step-by-step explanation:

Part A

If she multiplies the 1st equation by 5, then she should multiply the 2nd equation by -3.  Then add the two results

(1)      2x + 3y = 14            (2)     7x + 5y = 16

        10x + 15y = 70                 -21x - 15y = -48

        <u>-21x - 15y = - 48</u>

         -11x          = 22

             x = - 2                          7(-2) + 5y = 16

                                                    -14 + 5y = 16

                                                            5y = 30

                                                              y = 6

Check:  Substitute values in (1)   2(-2) + 3(6) = -4 + 18 = 14   Yea!   they work

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