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In-s [12.5K]
2 years ago
10

Find the solution to the system of equations 2x + y = 3 and x - y = 3.

Mathematics
2 answers:
GrogVix [38]2 years ago
8 0
Ans (2,-1)

2(2)+(-1)=3
4+(-1)=3
3=3
and
2-(-1)=3
2+1=3
3=3
IRISSAK [1]2 years ago
6 0

Answer:

(2, - 1 )

Step-by-step explanation:

2x + y = 3 → (1)

x - y = 3 → (2)

adding the 2 equations term by term will eliminate y

3x + 0 = 6

3x = 6 ( divide both sides by 3 )

x = 2

substitute x = 2 into either of the 2 equations and solve for y

substituting into (1)

2(2) + y = 3

4 + y = 3 ( subtract 4 from both sides )

y = - 1

solution is (2, - 1 )

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It will take 19 years and 6 months for the account value to reach 2900 dollars

Step-by-step explanation:

Given

Principal amount = 1400 dollars

Rate = 5.5 %

Final value = A = 2900

We have to find t

So,

The formula for simple interest is:

A = P(1+rt)

Putting values

2900 = 1400(1+0.055.t)\\\frac{2900}[1400} = 1+0.055t\\2.071 = 1+0.055t\\2.071-1=0.055t\\1.071 =0.055t

Dividing both sides by 0.055

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Rounding off to nearest tenth

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Hence,

It will take 19 years and 6 months for the account value to reach 2900 dollars

Keywords: Interest, simple interest

Learn more about interest at:

  • brainly.com/question/2654504
  • brainly.com/question/2654231

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