Question

substitute 2x+2y-14=0
for graph in linear equations
the whole question in this x+y-7=0; 2x+2y-14=0​​

Answer 1

Step-by-step explanation:

Given equations are

4x−y−4=0...(1)

3x+2y−14=0...(2)

Write y in terms of x for equation (1).

4x−y−4=0

⇒y=(4x−4)

Substitute different values of x in the above equation to get corresponding values of y

For  x=1,y=0

For  x=0,y=−4

For  x=2,y=4

Now plot the points A(1,0), B(0,−4) and C(2,4) in the graph paper and join A, B and C to get the graph of 4x−y−4=0

Similarly, Write y in terms of x for equation (2).

3x+2y−14=0

⇒y=  

2

(14−3x)

​

 

Substitute different values of x in the above equation to get corresponding values of y

For  x=0,y=7

For  x=2,y=4

For  x=4,y=1

Now plot the points D(0,7), E(2,4) and F(4,1) in the graph paper and join D, E and F to get the graph of 3x+2y−14=0

From the graph:

Both the lines intersect each other at point C(2,4) and y-axis at B(0,−4) and D(0,7) respectively

∴ Area of △BCD=  

2

1

​

(base×altitude)

=  

2

1

​

×11×2 sq.units

=11 sq.units.