How many solutions does the system below have? y = x+1 2y – x = 2

Question

How many solutions does the system below have?
y = x+1
2y – x = 2

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Kylie 3 weeks 2021-10-03T12:18:57+00:00 2 Answers 0

Answers ( )

    0
    2021-10-03T12:20:24+00:00

    Answer:

    1

    Step-by-step explanation:

    There is only 2 equations, and 2 unknowns shown on this question. Which means that there could only be one point of intersection.

    0
    2021-10-03T12:20:40+00:00

    Only one solution

    y =  x + 1   \\  \implies \:  x - y + 1 = 0..(1) \\\implies \:  a_1x +  b_1y+ c_1 = 0 \\ a_1 = 1, \:  \:b_1  =  - 1, \:  \: c_1 = 1\\ 2y - x = 2 \\  \implies x - 2y + 2 = 0 \\ \implies \:  a_2x +  b_2y + c_2 = 0 \\ a_2 = 1, \:  \:b_2  =  - 2, \:  \: c_2 = 2 \\  \\   \frac{a_1}{a_2}  =  \frac{1}{1}  = 1 \\  \\ \frac{b_1}{b_2}  =  \frac{ - 1}{ - 2}  = \frac{  1}{  2}   \\  \\  \because \: \frac{a_1}{a_2}  \neq \frac{b_1}{b_2}   \\  \therefore \: given \: system \: of \: linear \: equations \:  \\ has \:    \bold\red{\boxed{only \: one}} \: solution.

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45:7+7-4:2-5:5*4+35:2 =? ( )