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3 years ago

The equation of line 1 is 3x−2y=5, and the equation of line 2 is x+2y=7. What is the point of intersection of the two lines?

Mathematics

1 answer:

dimulka [17.4K]3 years ago

3 0

Answer:

(3, 2)

Step-by-step explanation:

This is a system of equations so I'll solve it using the 'Addition method'.

3x - 2y = 5 | x + 2y = 7

Add the two equations together to get:

4x = 12

x = 3

Then we solve for y using the 2nd expression because it's easier.

3 + 2y = 7

2y = 4

y = 2

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Answer:

The numbers are -15 and 100

$\frac{2}{10} +\frac{-15}{100} =\frac{5}{100}$

Step-by-step explanation:

we have

$\frac{2}{10} +\frac{x}{100} =\frac{5}{y}$

Solve the left side

$\frac{2}{10} +\frac{x}{100} =\frac{20+x}{100}$

$\frac{20+x}{100}=\frac{5}{y}$

equate the numerators and the denominators

20+x=5 ------> x=5-20=-15

100=y -------> y=5

therefore

The numbers are -15 and 100

$\frac{2}{10} +\frac{-15}{100} =\frac{5}{100}$

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2) For which value of P and W is P + W a rational number? P = 1/(sqrt(3)) And W = 1/(sqrt(6)) 2) P = 1/(sqrt(4)) and w = 1/(sqrt

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Answer:

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Step-by-step explanation:

Only the roots of perfect squares are rational numbers. 2, 3, 6, and 10 are not perfect squares, so their roots are irrational. Both 4 and 9 are perfect squares, so their roots are rational. The sum of rational numbers is a rational number.

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