Question

Find the roots of equation 4x+3y=12

Answer 1

Answer:

your answer

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)

Done

Answer 2

Answer:

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MATHS

If the graph of the equation 4x+3y=12 cuts the coordinate axes at A and B, then hypotenuse of right triangle AOB

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ANSWER

Equation :- 4x+3y=12

When the graph cuts x-axis, y coordinate becomes zero.

⇒4x+3(0)=12

⇒4x=12

⇒x=3

Similarly, when the graph cuts the y-axis, x coordinate is zero.

⇒4(0)+3y=12

⇒3y=12

⇒y=4

If OA=3units

OB=4units

By Pythagoras theorem

(AB)

2

=(OA)

2

+(OB)

2

=(3)

2

+(4)

2

=9+16

=25

=

25

⇒AB=5units

∴ The correct option is 'C'