What is the value of x? x + 5 = - 6x - 16

Mathematics

2 answers:

laiz [17]3 years ago

8 0

Get all the x's on one side and everything else on the other side
x + 6x = -16 - 5
7x = -21
then divide by 7
x = -3

exis [7]3 years ago

4 0

X +5 = -6x - 16
add 16 to both sides
x+21 = -6x
add 6x to both sides
7x+21=0
factor out the seven
7(x+3)=0

if 7 times (x+3) = 0 then (x+3) must equal zero because 7 times 0 is 0

so x+3=0
subtract three from both sides
x= -3

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$XY=16.2$

Step-by-step explanation:

It is given that the two figures are similar. This means that the ratio between the corresponding sides is equal. In essence, a side in the larger figure over its corresponding side in the smaller figure is equal to another side in the larger figure over its corresponding side in the smaller figure. Therefore, one can set up a proportion and solve to find the unknown side.

$\frac{WX}{ST}=\frac{XY}{TU}$