Solve the following simultaneous linear equations.2x + y = 54x – 3y = -10

Mathematics

1 answer:

Jet001 [13]3 years ago

7 0

Answer:

(1/2,4)

Step-by-step explanation:

First, determine y in first equation: 2x+y=5 or y=5-2x

replace value of y determined in first equation (5-2x) into 2nd equation

4x-3(5-2x)=-10

4x-15+6x=10

10x=5

x=1/2

put value of x into either equation to solve for y so

2(1/2)+y=5

1+y=5

y=4

answer: x=1/2, y=4

check answer by substituting x and y into either equation:

4x-3y=-10

4(1/2)-3(4)=-10

2-12=-10

-10=-10

2x+y=5

2(1/2)+4=5

1+4=5

5=5

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See below for answers (in bold) and explanations

Step-by-step explanation:

According to the Empirical Rule, 99.7% of the data in a normal distribution are ±3σ standard deviations away from the mean. Hence, approximately 99.7% of women over seventy have blood pressures between 134-3σ = 134-3(7) = 134-21 = 113 mmHg and 134+3σ = 134+3(7) = 134+21 = 155 mmHg.

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