Question

solve using equating the coefficient 42/3x+4y+52/4y-3x=5and 7/3x+4y+13/4y-3x=1​

Answer 1

Answer:

Let ‘x’ be the number of rides Akhila had on the giant wheel.

And, let ‘y’ be the number of times she played Hoopla.

From the question we can write the below pair of equations.

y = (1/2)x ⇒ x -2y = 0……. (i)

3x + 4y = 20……. (ii)

To represent these equations graphically we need at least two solutions for each (i) and (ii).

And let’s put them in a table for each:

For equation (i),

x 0 2

y = (1/2)x 0 1

For equation (ii),

x 0 20/3 4

y = (20 – 3x)/4 5 0 2

When:

The solution of the variable is zero; the equation can be solved easily. Putting x =0 in equation (ii) we get

4y = 20 ⇒y = 5

Similarly putting y = 0 in equation (ii) we get

3x = 20 ⇒x = 20/3 but it is not an integer so it is not easy to plot on graph paper.

So, we chose y=2 which gives x =4 as an integer value.

The above can be plotted in a graph as below: