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Aloiza [94]
3 years ago
11

Solve this system of equations. Write the answer as an ordered pair.

Mathematics
1 answer:
baherus [9]3 years ago
7 0
-2x + 6y = 6

6y - 6 = 2x

6(y-1) = 2x

(1/2) * 6(y-1) = 2x * (1/2)

x = 3(y-1)

------------

If, x = 3(y-1),

-7 * 3(y-1) + 8y = -5

-21 * (y-1) + 8y = -5

-21y + 21 + 8y = -5

21 + 5 = 21y - 8y

26 = 13y

y = 26/13

Therefore: y=2.

----------

If y=2,

x = 3(2-1) = 3

-----------

Answers:

x=3 and y=2.
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2 years ago
The base of a triangle is 7 inches more than 4 times the height. If the area of the triangle is 93 square inches, find the base
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Answer:

Step-by-step explanation:

Let the height = h

Let the base = 4h + 7

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Area = 93 square inches

1/2 * (4h + 7)* h = 93            Multiply both sides by 2

(4h + 7) * h = 93*2

(4h + 7)*h = 186                    Remove the brackets

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4h^2 + 7h - 186 = 0

Use the quadratic formula to solve

a = 4

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x1 = (-7 + sqrt(7^2 - 4*4*(-186) ) /2*4

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x1 = (-7 + sqrt(3025)) / 8

x1 = (-7 +55 ) / 8

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There is another root, but it has to be minus and therefore cannot be used as a length. x2 = - 7.75

h = 6

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Check

Area = 1/2 * b * h

Area = 1/2 * 31 * 6

Area = 1/2 *186

Area = 93 which is what we were given so the answer is correct.

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Step-by-step explanation:

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