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Natali5045456 [20]

2 years ago

15

Solve for y in terms of m by cross-multiplying.

7D%7B3%7D" id="TexFormula1" title="\frac{y}{m} =\frac{1}{3}" alt="\frac{y}{m} =\frac{1}{3}" align="absmiddle" class="latex-formula">

1 answer:

taurus [48]2 years ago

6 0

Answer:

y = m/3

Step-by-step explanation:

y 1

---- = --------

m 3

Cross multiply

3*y = 1*m

3y = m

Divide each side by 3

3y/3 = m/3

y = m/3

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Yes, they have the same solution.

Step-by-step explanation:

The steps in solving a two-step equation are to simplify by using

The inverse of addition or subtraction and then
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Equation 1

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(a) Inverse of addition

$\begin{array}{rcl}\dfrac{2}{3}x + \dfrac{3}{4} - \dfrac{3}{4}& = & 8 - \dfrac{3}{4}\\\\\dfrac{2}{3}x & = & \dfrac{29}{4}\\\end{array}$

(b) Inverse of multiplication

$\begin{array}{rcl}\left (\dfrac{2x}{3}\right ) \left (\dfrac{3}{2}\right ) & = & \left (\dfrac{29}{4}\right ) \left ( \dfrac{3}{2} \right ) \\\\x & = & \dfrac{87}{8}\\\end{array}$

Equation 2

8x = 87

(a) Inverse of multiplication

$\begin{array}{rcl}\dfrac{8x}{8} & = & \dfrac{87}{8}\\\\x & = & \dfrac{87}{8}\\\end{array}$

The two equations have the same solution.

For the first equation, I used the inverse of addition and then the inverse of multiplication to get the value of x.

The second equation needed only the inverse of multiplication.

Both solutions were the same.

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3 years ago