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jek_recluse [69]
2 years ago
15

5x+3y=-12 and 8x+7y=-6 solve the following systems of equations

Mathematics
2 answers:
Xelga [282]2 years ago
6 0
5x + 3y = -12 ⇒ 40x + 24y = -96
8x + 7y = -6   ⇒ <u>40x + 35y = -30</u>
                                   <u>-11y</u> = <u>-66</u>
                                    -11     -11
                                        y = 6
                            5x + 3(6) = -12
                              5x + 18 = -12
                             <u>        -18    -18</u>
                                      <u>5x</u> = <u>-30</u>
                                       5       5
                                        x = -6
                                  (x, y) = (-6,6)
HACTEHA [7]2 years ago
3 0
5x+3y=-12 \ \ \ |\times (- 7) \\&#10;8x+7y=-6 \ \ \ | \times 3\\ \\ &#10;-35x-21y=84 \\&#10;\underline{24x+21y=-18 \ } \\&#10;-35x+24x=84-18 \\&#10;-11x=66 \ \ \ |\div (-11) \\&#10;x=-6 \\ \\&#10;5x+3y=-12 \\&#10;5 \times (-6)+3y=-12 \\&#10;-30+3y=-12 \ \ \ |+30 \\&#10;3y=18 \ \ \ |\div 3 \\&#10;y=6 \\ \\&#10;\boxed{(x,y)=(-6,6)}&#10;
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Hi!

Since the tangent line T and the curve y must coincide at x=-4

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