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Olegator [25]
3 years ago
13

Find the solution for this system of equations. 2x + 4y = 8 x = 3y − 6

Mathematics
2 answers:
natima [27]3 years ago
6 0

Answer:

{ \tt{2x + 4y = 8 -  -  - (a)}} \\ { \tt{x = 3y - 6 -  -  - (b)}}

Substitute for x in equation (a) :

{ \tt{2(3y - 6) + 4y = 8}} \\ { \tt{6y - 12 + 4y = 8}} \\ { \tt{10y = 20}} \\ y = 2

Substitute for y in equation (b) :

{ \tt{x = (3 \times 2) - 6}} \\ x = 0

alexandr1967 [171]3 years ago
5 0

2x+4y =8

x=3y-6 ——> x–3y=–6

x–3y = – 6 ] ×(–2) ——> –2x +6y=12

2x+4y=8

–2x+6y =12

__o_o____

0+10y=20 —> 10y= 20 —> y= 20/10 —> y= 2

2x+4y=8 —> 2x + 4(2) = 8 —> 2x + 8=8 —> 2x = 0 —> x=0

(x,y) —> (0,2)

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The answer is (-∞.∞).

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Shade to the left of x = 0, and have a filled in circle at the endpoint. This is the graph of x≤0

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Note how the two graphs overlap to cover the entire real number line

So if we have x≤0  or  x≥−4 then we're basically saying x is any real number. To write this in interval notation, we write (−∞,∞)

This is the interval from negative infinity to positive infinity (or just infinity). We exclude each endpoint because we can't actually reach infinity itself. Infinity is not a number. Infinity is a concept

Side note: if you change the "or" to "and", then the solution to x≤0  and  x≥−4 would be [-4, 0][−4,0] to indicate the interval from x = -4 to x = 0, including both endpoints. This is the region where the two graphs overlap.

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5 0
2 years ago
Is 1/2 greater than less than or equal to 5/8
Arlecino [84]
1/2=4/8 4/8 less than 5/8 Good Luck!
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4 years ago
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Leya [2.2K]

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Step-by-step explanation:

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