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Yakvenalex [24]
3 years ago
13

Solve the system of equations using elimination.

Mathematics
1 answer:
tester [92]3 years ago
8 0

Answer:

y = 16 + 3/11

x = -76/11

Step-by-step explanation:

2y - 5x = -2

3y + 2x = 35

__________

(2y - 5x = -2)*3

(3y + 2x = 35)*2

__________

6y - 15x = -6

6y +4x = 70

__________

(6y - 15x = -6) - (6y +4x = 70)

15x - 4x = -6 -70

__________

11x = -76

x = -76/11

__________

3y +2(-76/11) = 35

3y = 35 + 152/11

3y = 13 + 35 + 9/11

3y = 48 + 9/ 11

y = 16 + 3/11

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Daniel purchased a 1 year CD, c, from a bank. He bought it at an annual interest rate of 6%. After 1 year, Daniel cashes in the
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Step-by-step explanation:

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If the quadratic equation x2+18x+74=0 is rewritten in the form (x−p)2=q, what is the value of q?
PilotLPTM [1.2K]

Answer:

<em>C) 7</em>

Step-by-step explanation:

<u>Quadratic equation</u>

The quadratic equation can be written in several ways, one of the most-used is

ax^2+bx+c=0

To rewrite the equation in the form

(x-p)^2=q

we can complete squares and rearrange the terms as follows. The provided equation is

x^2+18x+74=0

The second term can be seen as

2(x)(9)

And the first two terms can be visualized as the square of a binomial

x^2+2(x)(9)+81-81+74=0

We have added and subtracted 81 to complete the square and not modify the equation. The new form of the equation is

(x+9)^2-7=0

Rearranging

(x+9)^2=7

Comparing with the general form written above, we find that

\boxed{q=7}

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