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4vir4ik [10]
3 years ago
14

Solve the system of equations 3y+2z=12 and y-z=9

Mathematics
1 answer:
muminat3 years ago
4 0
Mulitply second equation by 2 and add to first

3y+2z=12
<u>2y-2z=18 +</u>
5y+0z=30

5y=30
divide 5
y=6

sub back
y-z=9
6-z=9
minus 6
-z=3
times -1
z=--3

x=-3
y=6
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Ashley purchased a prepaid phone card for $25.75. Calls cost 6 cents a minute using this card. The credit, C (in dollars), left
QveST [7]
That would be correct
3 0
3 years ago
Answer please cuz I'm very confused
Anestetic [448]

5x + 3y = - 53

the equation of a line in ' slope- intercept form ' is y = mx + c

where m is the slope and c the y-intercept

rearrange 3x - 5y = - 15 into this form to obtain m → (subtract 3x from both sides)

- 5y = - 3x - 15 → divide all terms by - 5 )

y = \frac{3}{5} x + 3 → in slope-intercept form with m = \frac{3}{5}

given a line with slope m then the slope m₁ of a line perpendicular to it is

m₁ = - \frac{1}{m} = - 1 ÷ \frac{3}{5} = - \frac{5}{3}

partial equation is y = - \frac{5}{3} x + c

to find c substitute ( - 7, - 6) into the partial equation

- 6 = \frac{35}{3} + c ⇒ c = - 6 - \frac{35}{3} = - \frac{53}{3}

y = - \frac{5}{3} x - \frac{53}{3} → in slope intercept form

multiply all terms by 3

3y = - 5x - 53 → ( add 5x to both sides )

5x + 3y = - 53 → in standard form





6 0
3 years ago
Find an ordered pair (x,y) that is a solution to the equation. 3x-y=8
allochka39001 [22]

Answer:

(2,-2)

Step-by-step explanation:

3x-y =3(2) -(-2)= 6 +2 = 8

7 0
2 years ago
Simplify (4x − 6) + (5x + 1)
Basile [38]
9x-5, I guess, not sure, but I'm combining like terms. Hope it's right.
5 0
3 years ago
Read 2 more answers
Shade the model to 0.5 x 0.3
stellarik [79]
What model? also it would be 1/2 and 1/3
6 0
3 years ago
Read 2 more answers
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