1. Change each of the following equations to the form

Mathematics

1 answer:

Evgen [1.6K]3 years ago

5 0

Answer:

(a) -6x- y = 3

$6x + y = -3\\ y = -6x -3$

(b) 3x-4y =12

$3x - 4y = 12\\-4y = -3x +12\\4y = 3x -12\\\\y = \frac{3}{4}x -3$

(c)-2x + 5y = 10

$-2x + 5y = 10\\5y = 2x + 10\\y = \frac{2}{5}x + 2$

(d) x + 2y = 4

$x+2y=4\\2y = -x + 4\\y = \frac{-1}{2} x +2$

(e) 8x- 4y = 3

$8x - 4y =3\\-4y = -8x + 3\\4y = 8x -3\\y = 2x -\frac{3}{4}$

(f) 4x + 5y = -6

$4x + 5y = -6\\5y = -4x - 6\\y = \frac{-4}{5} x -\frac{6}{5}$

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helena needs 3.5 cups of flour per loaf of bread and 2.5 cups of flour per batch of muffins. she also needs 0.75 cup of sugar pe

tatuchka [14]

The <em><u>correct answer</u></em> is:

She can make 2 loaves of bread and 4 batches of muffins.

Explanation:

Let b represent bread and m represent muffins.

The equation for the amount of flour she needs is 3.5b+2.5m=17.

The equation for the amount of sugar she needs is 0.75b+0.75m=4.5.

To solve this, we will want to eliminate one of the variables. To do this, we will make the coefficients of one of the variables the same. If we multiply 2.5 by 0.3, we get 0.75; this is what we will do to the first equation:

$\left \{ {{0.3(3.5b+2.5m=17)} \atop {0.75b+0.75m=4.5}} \right. \\ \\\left \{ {{1.05b+0.75m=17} \atop {-(0.75b+0.75m=4.5)}} \right. \\ \\0.3b=0.6 \\ \\\frac{0.3b}{0.3}=\frac{0.6}{0.3} \\ \\b=2$