Assignment: [tex]\bold{Solve \ Equation: \ 8x - 3y = 12}[/tex]
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Answer: [tex]\bold{y=4}[/tex]
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Explanation: [tex]\downarrow\downarrow\downarrow[/tex]
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[ Step One ] Replace 3 For X
[tex]\bold{8\cdot \:3-3y=12}[/tex]
[ Step Two ] Multiply Numbers: [tex]\bold{8\cdot \:3=24}[/tex]
[tex]\bold{24-3y=12}[/tex]
[ Step Three ] Subtract 24 From Both Sides
[tex]\bold{24-3y-24=12-24}[/tex]
[ Step Four ] Simplify
[tex]\bold{-3y=-12}[/tex]
[ Step Five ] Divide Both Sides By -3
[tex]\bold{\frac{-3y}{-3}=\frac{-12}{-3}}[/tex]
[ Step Six ] Simplify
[tex]\bold{y=4}[/tex]
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[tex]\bold{\rightarrow Mordancy \leftarrow}[/tex]
The value of y for the given equation is 4.
Mx + Ny = L
x and y are variables; M, N and L are constants.
Given: Linear equation of two variables
8x - 3y = 12
Now, we will substitute x = 3 in the above equation, we will get:
⇒ 8(3) - 3y = 12
⇒ 24 - 3y = 12
⇒ 3y = 12
⇒ y = 4
Therefore, for the equation 8x - 3y = 12 to be true then for the given value of x = 3, the value of y should be 4.
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