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AURORKA [14]
3 years ago
9

2x - 11 \\ 4x + 3y = - 13" alt="y = 2x - 11 \\ 4x + 3y = - 13" align="absmiddle" class="latex-formula">
How do u solve this system equation?
Mathematics
2 answers:
leva [86]3 years ago
7 0

y = 2x - 11

4x + 3y = -13

To solve this system using substitution, substitute (2x - 11) into the second equation for y and solve algebraically for x.

4x + 3y = -13 (given)

4x + 3(2x - 11) = -13 (substitute)

4x + 6x - 33 = -13 (distribute)

10x - 33 = -13 (collect like terms)

10x = 20 (add 33 to both sides)

x = 2 (divide both sides by 10)

Substitute 2 for x into either of the original equations.

y = 2x - 11 (given)

y = 2(2) - 11 (substitute)

y = 4 - 11 (multiply)

y = -7 (subtract)

Answer:

x = 2 and y = -7; (2, -7).

PSYCHO15rus [73]3 years ago
4 0
I think that
y = -7
x= 2
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minus 3x on both side

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-11x = 0

divide -11 on both side

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4 0
3 years ago
Cathy rolls a number cube that is labeled from 1 to 6.
MatroZZZ [7]

Answer: 2/3

Cathy rolls a number cube that is labeled from 1 to 6.

Total outcomes = {1,2,3,4,5,6}

she rolls an even number or a multiple of 3

Outcomes of an even number = {2,4,6}

Outcomes of multiple of 3 = {3,6}

so favorable outcomes of even number or a multiple of 3 = {2,3,4,6}

Probability ( any event) =number of favorable outcomes divide by total  number of outcomes

probability(even number or a multiple of 3) = \frac{4}{6}=\frac{2}{3}

7 0
3 years ago
Solve the system of equations.<br> 3x + y = 3 <br> x + y = 2
qwelly [4]
When solving system equations, we can use substitution method or elimination. Today I'm using substitution method.

First name the 2 equations.
3x + y = 3 (1)
x + y = 2 (2)

Now pick one equation and express one algebra in forms of the other.
From (2),
x = 2 - y (3)

Now substitute (3) into (1),
3(2-y) + y = 3
6 - 3y + y = 3
6 - 2y = 3
6 - 3 = 2y
y = 1.5

Now substitute y = 1.5 into (2)
x + 1. 5 = 2
x = 2 - 1.5
x = 0.5

Therefore the answer is x = 0.5 and y = 1.5
5 0
3 years ago
An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholde
kherson [118]

Answer:

Step-by-step explanation:

Given that X is the number of months between successive payments

Cumulative distribution function of X is

F(x) =0, x

a) PMF of x would be

P(x) =0, x

b) P(3 ≤ X ≤ 6) =0.86-0.44=0.42\\ P(4 ≤ X)=1-0.44=0.56\\P(3 < X < 6) =0.6\\P(4 < X) =1-0.48=0.52

4 0
3 years ago
Evaluate a + b for a = 12 and b = 6.
den301095 [7]

Answer:

Here,

a= 12

b = 6

Then,

a+b

= 12 + 6

= 18

.°. 18 is the solution

3 0
3 years ago
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