Question

3. Solve graphically:
a. x + 2y-3 = 0
b. 3x-2y + 7 = 0​

Answer 1

Answer:

the value of x(-1) and the value of y(2)

Answer 2

Graphically as shown in the figure.

Step-by-step explanation:

Given equation,

$x + 2y-3 = 0$__1

$3x-2y + 7 = 0$__2

From Equation-1,

$x + 2y-3 = 0$

⇒$2y=-x+3$

⇒$y=-\frac{1}{2}x+\frac{3}{2}$ __3

Which is similar with straight equation,

$y=mx+c$

Where,

$m =$Slope or Gradient and

$c=$ y-intercept

From equation-3,

$m=-\frac{1}{2}$ and $c=\frac{3}{2}$

From equation-2,

$3x-2y + 7 = 0$

⇒$-2y=-3x-7$

⇒$y=\frac{3}{2}x+\frac{7}{2}$

By comparing with straight line equation,

$m=\frac{3}{2}$ and $c=\frac{7}{2}$  

Graphically as shown in the figure.