Question

solve the equation graphically 3x+4y=10 and 4x-3y=5​

Answer 1

Answer:

Step-by-step explanation:

Let,

3 x-4 y = 10 ----------> {1}

4 x+3 y = 5 ------------> {2}

{1} × 3 = 9 x - 12 y = 30

{2} ×4 = 16 x + 12 y = 20

====================

= 25 x = 50

x = 50/25

x = 2

therefore , x = 2

now place x in equation 1

(3×2) - 4 y = 10

6 - 4 y = 10

-4 y = 4

y = (-1)

show that ,

x = 2

y = (-1)

Answer 2

The solution is (2,1)

Step-by-step explanation:

Equation 1:$3x+4y=10$

Equation 2:$4x-3y=5​$

Plot these lines on the graph

Equation 1:$3x+4y=10$ ---- Green Line

Equation 2:$4x-3y=5​$ ---- Purple line

Intersection point will provide the solution :

Intersection point = (x,y)=(2,1)

Hence The solution is (2,1)

#Learn more:

Solve the equations graphically 3x-y=2;9x-3y=6

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