Question

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Find two solutions for the following equations: (i) 2x+3y=12 (ii) 7x+9y=63

Find two solutions for the following equations:

(i) 2x+3y=12

(ii) 7x+9y=63

Solutions

Expert Solution

(i) 2x+y=12

Let, x=0 in the above equation,

2(0)+3y=12

3y=12

y=12/3

y=4

So, (0,4) is a first solution.

Similarly, substitute y=0 in the equation 2x+y=12

we get,

2x+y(0)=12

2x=12

x=6

We got the second solution of the equation as (6,0).

(ii)7x+9y=63

Substitute x=0 in the equation 7x+9y=63 we get,

7(0)+9y=63

9y=63

y=63/7

y=9

First solution ; (0,9)

Similarly,

Plug y=0 in the equation 7x+9y=63, we get

7x+y(0)=63

7x=63

x=63/7

x=9

Second solution : (9,0)

Two solutions of the following equations are:

(i) 2x+3y=12 : solutions - (0,4) and (6,0)

(ii) 7x+9y=63 : solutions - (0,9) and (9,0)

Cheryl answered 1 year ago

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