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abruzzese [7]
2 years ago
5

Solve each quadratic equation by factoring with grouping. 5v2 – 18v = -9

Mathematics
1 answer:
djyliett [7]2 years ago
6 0

Answer:

v = 3 , 3/5

Step-by-step explanation:

5 {v}^{2}  - 18v + 9 = 0 \\ 5 {v}^{2}  - 3v - 15v + 9 = 0 \\ v(5v - 3) - 3(5v - 3) = 0 \\ (5v - 3)(v - 3) = 0 \\ v = 3 \\ v =  \frac{3}{5}

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So we first want to ask ourselves what is the 14 doing to <em>x</em>. Well, we can see that it's being added to <em>x</em> so to get <em>x</em> by itself, we will do the opposite of addition which is subtraction. So we subtract 14 from both sides of the equation.

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x = -1 and y = -1

Step-by-step explanation:

Solve 3x+3y=−6;−x+y=0

Steps:

I will solve your system by substitution.

−x+y=0;3x+3y=−6

Step: Solve−x+y=0for y:

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y=x

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6

=

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(Divide both sides by 6)

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y=x

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Answer:

x=−1 and y=−1

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