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3 years ago

Simplify 4.2(2x-0.5y)-2(4.1x-0.3y)

Mathematics

1 answer:

klio [65]3 years ago

5 0

Answer:

x = 7.5y

Step-by-step explanation:

Simplifying

4.2(2x + -0.5y) + -2(4.1x + -0.3y) = 0

(2x * 4.2 + -0.5y * 4.2) + -2(4.1x + -0.3y) = 0

(8.4x + -2.1y) + -2(4.1x + -0.3y) = 0

8.4x + -2.1y + (4.1x * -2 + -0.3y * -2) = 0

8.4x + -2.1y + (-8.2x + 0.6y) = 0

Reorder the terms:

8.4x + -8.2x + -2.1y + 0.6y = 0

Combine like terms: 8.4x + -8.2x = 0.2x

0.2x + -2.1y + 0.6y = 0

Combine like terms: -2.1y + 0.6y = -1.5y

0.2x + -1.5y = 0

Solving

0.2x + -1.5y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1.5y' to each side of the equation.

0.2x + -1.5y + 1.5y = 0 + 1.5y

Combine like terms: -1.5y + 1.5y = 0.0

0.2x + 0.0 = 0 + 1.5y

0.2x = 0 + 1.5y

Remove the zero:

0.2x = 1.5y

Divide each side by '0.2'.

x = 7.5y

Simplifying

x = 7.5y

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our function is given as

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In order to find the y intercept , we need to put x=0 in f(x) as y intercept is the point at which the function graphically meets y axis and where x = 0

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$f(0)=12$

Hence the y intercept is 12 units

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