4 years ago

Solve using substitution technique; -3x+y=2, 12x-4y=-8

Mathematics

1 answer:

vladimir1956 [14]4 years ago

4 0

The first equation is easier to solve for y than is the 2nd: y = 3x+2. Subst. 3x+2 for y in the second equation:

12x - 4(3x+2) = -8

Expanding, 12x =12x -8 = -8

This is always true, no matter the value of x. Thus, the solution set is "all real numbers."

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A retangular athletic field is twice as long as it is wide. If the perimeter of the athletic field is 180 yards, what are its di

pishuonlain [190]

W= width
l= 2w= length

Perimeter of a Rectangle Formula
P= 2(l + w)
substitute 2w for l in equation

180= 2(2w + w)
multiply 2 by parentheses

180= 4w + 2w
combine like terms

180= 6w
divide both sides by 6

30 yards= w

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2w= 2(30)= 60 yards

CHECK:
180= 30 + 60 + 30 + 60
180= 90 + 90
180= 180

ANSWER: the width is 30 yards and the length is 60 yards

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Step-by-step explanation:

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