Solve this equation using elimination:
2X + 3Y = 16
6X - 5Y = 20
2 answers:
Another bag of marbles contains 6 blue marbles and 1 green marble. Mary and Frank will draw a blue marble followed by a green marble, without replacing the first marble. Mary says the probability will be 649, and Frank says that the probability will be17 . Who is correct?
Answer:
(5, 2 )
Step-by-step explanation:
Given the 2 equations
2x + 3y = 16 → (1)
6x - 5y = 20 → (2)
Multiplying (1) by - 3 and adding to (2) will eliminate the x- term
- 6x - 9y = - 48 → (3)
Add (2) and (3) term by term to eliminate x
0 - 14y = - 28
- 14y = - 28 ( divide both sides by - 14 )
y = 2
Substitute y = 2 into either of the 2 equations and solve for x
Substituting into (1)
2x + 3(2) = 16
2x + 6 = 16 ( subtract 6 from both sides )
2x = 10 ( divide both sides by 2 )
x = 5
solution is (5, 2 )
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Answer:
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Step-by-step explanation:
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Answer:
1.8m^2 approx
Step-by-step explanation:
Given data
P1= 1400N
A1=0.5m^2
P2=5000 N
A2=??
Let us apply the formula to calculate the Area A2
P1/A1= P2/A2
substitute
1400/0.5= 5000/A2
cross multiply
1400*A2= 5000*0.5
1400*A2= 2500
A2= 2500/1400
A2= 1.78
Hence the Area is 1.8m^2 approx
Answer:
Points R and T are plotted incorrectly
Step-by-step explanation:
R is at the point (0,-3.5), and T is at the point (-4.5,2.5)
No...standard form cannot have fractions 2/3x - 1/3y = 2....multiply by common denominator of 3 to get rid of fractions 2x - y = 6 <== standard form