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Lera25 [3.4K]
3 years ago
6

-x + 5y = 13x - y = 15​

Mathematics
2 answers:
aev [14]3 years ago
4 0
To find x we would make x-y=15 into x=15+y so we can have an equation for x. We plug in for x in the other equation and we have -(15+y)+5y=13. We distribute the - sign to get -15-y+5y=13. We subtract a y from 5y and we have -15+4y=13. We add 15 to both sides to cancel out the negative 15. We get 4y=28. We divide by 4 to both sides to cancel out multiplying by 4. We get y as 7. Now, to get x we simply look back at the equation x-y=15. We plug 7 making x-7=15. Instead of subtracting we add 7 to both sides and we get x as 22. Therefore, x is 22 and y is 7
aivan3 [116]3 years ago
3 0

Answer:

x-y-15=15-15

x-y-15=0

hope this helps :)

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Estimate the measure of 1.
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Independence and Exclusiveness are two topics which are important to probability and often confused. Discuss the difference betw
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7 0
3 years ago
Quadrilateral KLMN is a rectangle. The coordinates of L are L(1,-4), and the coordinates of Mare M(3,-2). Find the slopes of sid
lozanna [386]
L(1, -4)=(xL, yL)→xL=1, yL=-4
M(3, -2)=(xM, yM)→xM=3, yM=-2

Slope of side LM: m LM = (yM-yL) / (xM-xL)
m LM = ( -2 - (-4) ) / (3-1)
m LM = ( -2+4) / (2)
m LM = (2) / (2)
m LM = 1

The quadrilateral is the rectangle KLMN
The oposite sides are: LM with NK, and KL with NK
In a rectangle the opposite sides are parallel, and parallel lines have the same slope, then:
Slope of side LM = m LM = 1 = m NK = Slope of side NK
Slope of side NK = m NK = 1

Slope of side KL = m KL = m MN = Slope of side MN

The sides KL and LM (consecutive sides) are perpendicular (form an angle of 90°), then the product of their slopes is equal to -1:
(m KL) (m LM) = -1
Replacing m LM = 1
(m KL) (1) = -1
m KL = -1 = m MN

Answer:
Slope of side LM =1
Slope of side NK =1
Slope of side KL = -1
Slope of side MN = -1 
3 0
3 years ago
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