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Fittoniya [83]
4 years ago
10

Find a common solution for each system of equations: y=3x+5 y=-5x-3

Mathematics
1 answer:
Nina [5.8K]4 years ago
8 0
\left\{\begin{array}{ccc}y=3x+5\\y=-5x-3\end{array}\right\\\\substitution\ method\\\\3x+5=-5x-3\\3x+5x=-3-5\\8x=-8\ \ \ \ \ /:8\\x=-1\\\\y=3(-1)+5=-3+5=2\\\\Solution:x=-1\ and\ y=2.

graphing\ method\\\\  \left\{\begin{array}{ccc}y=3x+5\\y=-5x-3\end{array}\right\\------------------\\y=3x+5\\y-intercept\ (x=0)\\y=3(0)+5=5\\(0;\ 5)\\x-intercept\ (y=0)\\3x+5=0\\3x=-5\\x=-\frac{5}{3}\\(-\frac{5}{3};\ 0)\\---------------------
y=-5x-3\\y-intercept\ (x=0)\\y=-5(0)-3=-3\\(0;-3)\\x-intercept\ (y=0)\\-5x-3=0\\-5x=3\\x=-\frac{3}{5}\\(-\frac{3}{5};\ 0)\\\\Solution:((-1;\ 2)\to x=-1\ and\ y=2.

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Answer:

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Step-by-step explanation:

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