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Alekssandra [29.7K]
3 years ago
7

3x-y=-1 and 2x+y=-14 how to solve showing work?

Mathematics
1 answer:
inysia [295]3 years ago
4 0
3x -  y = -1   ⇒ 6x - 3y = -2
2x + y = -14 ⇒ <u>6x + 2y = -42</u>
                               <u>-5y</u> = <u>40</u>
                                -5     -5
                                  y = -8
                       3x - (-8) = -1
                         3x + 8 = -1
                        <u>        -8    -8</u>
                              <u>3x</u> = <u>-9</u>
                               3      3
                                x = -3
                          (x, y) = (-3, -8)
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<h3>What is a system of equations?</h3>

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Let B and E be Ben's and Emma's current ages, respectively.

We have given that;

Ben's age is currently twice of his sister, Emma.

B = 2E

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We can substitute the value of B from the first equation into the last one

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