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3 years ago

Solve the following system of equations algebraically: 4x - 5y = 18 3x – 2y = 10

Mathematics

1 answer:

fiasKO [112]3 years ago

8 0

Answer:

Step-by-step explanation:

Given the 2 equations

4x - 5y = 18 → (1)

3x - 2y = 10 → (2)

Multiplying (1) by 3 and (2) by - 4, then adding will eliminate the x- term

12x - 15y = 54 → (3)

- 12x + 8y = - 40 → (4)

Add (3) and (4) term by term to eliminate x, that is

- 7y = 14 ( divide both sides by - 7 )

y = - 2

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

Substituting into (1)

4x - 5(- 2) = 18

4x + 10 = 18 ( subtract 10 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2

solution is (2, - 2 ) → D

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Setler [38]

For zeroes/roots r1,r2, r3
the facors of the polynomial is
(x-r1)(x-r2)(x-r3)

roots
-3,2,5
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the coefient of the x term is -4
so mutliply the whole thing by 2

(2)(x+3)(x-2)(x-5)

expand
f(x)=2x^3-8x^2-22x+60

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4 years ago

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gtnhenbr [62]

I hope it helps. ....................

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3 years ago

Find the value of −12 + 8 −(−9). Question 20 options: −13 −5 13 5

timama [110]

Answer:

D) 5

Step-by-step explanation:

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3 years ago

Perry divided up some candy to give equally to his six friends if c represents the total amount write an expression to represent

Delicious77 [7]

Use easy numbers if you get confused on problems like these.

I'm going to use 12 instead of c.
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Hope this helps!

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3 years ago

Read 2 more answers

Will the solutions to the equation 12x2-5x-2=0 be positive or negative and how would you know without solving the equation compl

SOVA2 [1]

For this case we have the following equation:
12x2-5x-2 = 0
Using the resolver we have:
x = (- b +/- root (b ^ 2 - 4 * a * c)) / (2 * a)
Substituting values we have:
x = (- (- 5) +/- root ((- 5) ^ 2 - 4 * 12 * (- 2))) / (2 * 12)
Rewriting:
x = (5 +/- root (25 +96))) / (2 * 12)
x = (5 +/- root (121))) / (2 * 12)
x = (5 +/- 11) / (2 * 12)
Answer:
One root is positive and another is negative.

6 0

3 years ago