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JulsSmile [24]
3 years ago
9

7x+9y=-41 and x+3y=1. Solve system of equations

Mathematics
1 answer:
galben [10]3 years ago
7 0

9514 1404 393

Answer:

  (x, y) = (-11, 4)

Step-by-step explanation:

You can subtract 3 times the second equation from the first to eliminate y.

  (7x +9y) -3(x +3y) = (-41) -3(1)

  4x = -44

  x = -11

Substituting into the second equation gives ...

  -11 +3y = 1

  3y = 12

  y = 4

The solution is (x, y) = (-11, 4).

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The slope-intercept form of a line:

y=mx+b

m - slope

b - y-intercept

Convert 2x + 3y = -6 to the slope-intercet form:

2x+3y=-6         <em>subtract 2x from both sides</em>

3y=-2x-6         <em>divide both sides by 3</em>

y=-\dfrac{2}{3}x-2

Let k:y=m_1x+b_1 and l:y=m_2x+b_2

l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}

We have m_1=-\dfrac{2}{3}

Therefore

m_2=-\dfrac{1}{-\frac{2}{3}}=\dfrac{3}{2}

We have the equation of a line:

y=\dfrac{3}{2}x+b

Put the coordinates of the point (0, 0) to the equation:

0=\dfrac{3}{2}(0)+b

0=b\to b=0

Answer: \boxed{y=\dfrac{3}{2}x}


8 0
3 years ago
Which is the most accurate way to estimate 50% of 41?
sasho [114]

Answer:

The easiest way is to round down to 40 and take 50% of that, which is 20. The actual answer is 20.5.

Step-by-step explanation:

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Step-by-step explanation:

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