find the root of the equation 4x +3y=12
Answers
Step-by-step explanation:
1 Add 3y3y to both sides.
4x=12+3y4x=12+3y
2 Divide both sides by 44.
x=\frac{12+3y}{4}x=
4
12+3y
3 Factor out the common term 33.
x=\frac{3(4+y)}{4}x=
4
3(4+y)
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Answer:
We know that,
Root of an equation definition are values which, substituted for the unknown quantity in an equation, satisfies the equation.
So, given equation is :-
4x + 3y = 12 .
we will try to put values one by one .
1) putting x = 0
→ 4x + 3y = 12
→ 4 * 0 + 3y = 12
→ 0 + 3y = 12
→ 3y = 12
dividing both sides by 3,
→ y = 4
Therefore, roots of equation are (0 , 4).
2) putting y = 0
→ 4x + 3y = 12
→ 4x + 3 * 0 = 12
→ 4x + 0 = 12
→ 4x = 12
dividing both sides by 4,
→ x = 3
Therefore, roots of equation are (3 , 0).
3) putting x = 1
→ 4x + 3y = 12
→ 4 * 1 + 3y = 12
→ 4 + 3y = 12
→ 3y = 12 - 4
→ 3y = 8
dividing both sides by 3,
→ y = (8/3)
Therefore, roots of equation are (1 , 8/3).
4) putting y = 1
→ 4x + 3y = 12
→ 4x + 3 * 1 = 12
→ 4x + 3 = 12
→ 4x = 12 - 3
→ 4x = 9
dividing both sides by 4,
→ x = (9/4)
Therefore, roots of equation are (9/4 , 1).
Step-by-step explanation:
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