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arsen [322]
3 years ago
9

is (3,-3) a solution to the system 5x+4y=3, 2x-5y=19 need to be taught step by step please and thank you.

Mathematics
2 answers:
8090 [49]3 years ago
8 0
Basically all you’re doing is plugging in the inputs to the equations and see if they’re correct.

5(3)+4(-3)=3 this proves to be true
2(3)-5(-3)=21 not 19
lesya [120]3 years ago
8 0

<u>Answer:</u>

(3,-3) is not a solution of the given system.

<u>Solution:</u>

The equations given in the problem are,

5x+4y=3 ----- (i)

2x-5y=19 ------------ (ii)

Now if (3,-3) is a solution of the system then both equation will satisfy by substituting the value of x as 3 and y as -3. If any of the equation does not satisfy with (3,-3) then this is not the solution i.e. the given value should satisfy both the equations to be a solution.

So, now substituting value of (x, y) as (3,-3) on equation (i) we get

5x+4y=3

5 \times3 +4\times(-3) = 3

15 -12 =3

Here, 3=3 <em> --- (a) (satisfies the first equation)</em>

Again substituting value of (x, y) as (3,-3) on equation (ii) we get

2x-5y=19

2\times3-5\times(-3) = 19

6+15 =19

Here, 21\neq 19<em> --- (b)</em> <em>(does not satisfy the second equation)</em>

From (a) and (b) we can conclude that the value (3.-3) does not satisfy the second equation. So, this is not a solution of the system.

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