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Leviafan [203]
3 years ago
14

 Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. Find

all solutions whenever they exist.
X + 3y = 9
 

3x –y =  7
Mathematics
1 answer:
Blababa [14]3 years ago
4 0
After\ adding\ equations\ and\ simplifying:\\\\One\ solution:\\\\x=number\\ example: x=2\\\\ infinitely\ many\ solutions:\\\\ Left\ side=\ Right\ side\\ example:\\ 2=2\\\\ No\ solutions:\\\\2 \neq 5\left \{ {{x+3y=9} \atop {3x-y=7}\ \ |*3} \right.\\\\ \left \{ {{x+3y=9} \atop {9x-3y=21}} \right.\\+--------\\\\Addition\ method:\\\\10x=30\ \ |:10 \\\\x=3\\\\x+3y=9\\\\3y =9-x=9-3=6\\\\y=2\\\\ \left \{ {{y=2} \atop {x=3}} \right.
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The formula l = prt gives the simple interest l earned on an account where an amount p is deposited at an interest rate r for a
Ede4ka [16]

There's no way for us to use the table if you won't share it with us.

8 0
3 years ago
What is the smallest of 3 consecutive positive integers if the product of the smaller two integers is 5 less than 5 times the la
olga55 [171]
Let's say the first number is "a"
the next consecutive can just be "a+1" and  the next, you guessed it, "a+2"
the two smaller ones are a and a+1, the larger one is a+2

now, the product of "a" and "a+1" equals 5 times "a+2" but less by 5

thus   a(a + 1) = 5(a + 2) - 5   <----- solve for "a"
7 0
3 years ago
2x+3y=6 fins the slope of the line
klasskru [66]
2x + 3y = 6

Put this into y=mx+b form (which is also called slope-intercept form)

Where m=slope and b=y-intercept

In order to put this into slope-intercept form, we simply need to subtract 2x from both side.s

3y = 6 - 2x

Then, divide both sides by 3 so that we fully isolate y.

3y ÷ 3 = (6 - 2x) ÷ 3

Simplify.

y = 2 - 2/3x

Put this into order by moving "x" onto the correct place.

y = -2/3x + 2

Therefore -2/3 is the slope, as it is in the "m" spot.

Hope I helped! :)
6 0
3 years ago
Read 2 more answers
Consider the following system of equations
Vera_Pavlovna [14]
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3 years ago
Write the equation of the line, in slope-intercept form, with the
mash [69]

Answer:

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Step-by-step explanation:

any point slope equation is in form y-y1 = m(x-x1)

plug in the point and constant value

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y= -5(x-4)

6 0
4 years ago
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