3×_5=16 and 3×=21 the first equation is a true statement for a certain value of x.

can you explain why the second equation must also be true for the same value of x?

We conclude that the second equation must also be true for the same value of x because the value x = 7 satisfies the 2nd equation too.

Step-by-step explanation:

Given the first equation

Add 5 to both sides

simplify

Divide both sides by 3

simplify

Thus, x = 7 is a value that satisfies the first equation.

Now, put x = 7 in the 2nd question to check whether x = 7 satisfies the equation or not.

3x = 21

3(7) = 21         ∵ x = 7

21 = 21

Thus, x = 7 also satisfies the 2nd equation.

Therefore, we conclude that the second equation must also be true for the same value of x because the value x = 7 satisfies the 2nd equation too.

mark other person brainliest

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .