3 years ago

Solve the system of equations using the Addition method. 2a + 3b = -1 3a + 5b = -2

1 answer:

8 0

2a + 3b = -1
3a + 5b = -2

3(2a + 3b = -1) --> 6a + 9b = -3
2(3a + 5b = -2) --> 6a + 10b = -4
- ___________
b = -1

2a + 3(-1) = -1
2a - 3 = -1
2a = 2
a = 1

2(1) + 3(-1) = -1 --> 2 - 3 = -1
3(1) + 5(-1) = -2 --> 3 - 5 = 2

Answer:
a = 1
b = -1

Hope this helps.

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Given the trinomial, what is the value of the coefficient 'B' in the factored form?. . 2x^2 + 14xy - 36y^2 = 2(x + By)(x - 2y).

soldi70 [24.7K]

The value of the coefficient B is 9.

2(x+By)(x-2y)
=2(x^2 -2xy +Bxy -2By^2)
=2x^2 -4xy + 2Bxy - 4By^2

The original form is 2x^2 + 14xy - 36y^2

-36y^2 = -4By^2
B= 9
-4xy +2Bxy= 14xy
xy(-4 +2B)= 14xy
-4 + 2B = 14
2B = 18
B=9

3 0

3 years ago

Read 2 more answers

An experiment consists of flipping a single coin followed by rolling a six-sided cube (a die).

Over [174]

Answer: $\frac{1}{12}$

Step-by-step explanation:

Okay, first, you want to find the probability of getting a head, which would be 1/2 because there are two options and we are only looking for one out of the two. Then, the probability of getting a 6 would be 1/6 because there is only one chance of getting a 6 and there are 6 options. Next, you would have to multiply both quantities to find out what the probability would be of getting both. So it would be $\frac{1}{2}$ × $\frac{1}{6}$ = $\frac{1}{12}$