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3 years ago

Solve the simultaneous equations y = 2x^2 y = 3x + 14

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

3 0

Answer:

x = -2

And, x = 7 ÷ 2

Step-by-step explanation:

Given that

y = 2x^2

y = 3x + 14

Now equate these two above equations

2x^2 = 3x + 14

2x^2 - 3x - 14

2x^2 -7x + 4x - 14

x(2x - 7) + 2(2x - 7)

(x + 2) (2x - 7)

So it can be x = -2

And, x = 7 ÷ 2

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3 years ago

Dan invests £11000 into a savings account. The bank gives 3.9% compound interest for the first 3 years and 4.5% thereafter. How

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Answer: £14378

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

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3 years ago

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Sunny_sXe [5.5K]

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3 years ago

Does the following system of equations have a solution? If so, find one. If not, explain why not. 2x+y+z=4, x-y+3z=-2, -x+y+z=-2

Elena-2011 [213]

Answer:x=2, y=1, z=-1

Step-by-step explanation:

Given

2x+y+z=4----1

x-y+3z=-2----2

-x+y+z=-2----3

Add 2 & 3 we get

4z=-4

z=-1

Put value of z in 1 & 2

2x+y-1=4

2x+y=5----3

x-y+3(-1)=-2

x-y=1------4

add 3 & 4 we get

x=2

Put x & z in 1

y=1

5 0

3 years ago