Question

5x-4y+2=0, 2x+3y=13
​

Answer 1

Answer:

Given equations:-

x

2

+

y

3

=13and

x

5

−

y

4

=−2

Let

x

1

=pand

y

1

=q

Thus, we have,

2p+3q=13=>2p+3q−13=0

5p−4q=−2=>5p−4q+2=0

Using cross-multiplication method to solve the equations we have,

(3)(2)−(−4)(−13)

p

=

(−13)(5)−(2)(2)

q

=

(2)(−4)−(5)(3)

1

6−52

p

=

−65−4

q

=

−8−15

1

−46

p

=

−69

q

=

−23

1

=>

−46

p

=

−23

1

or,p=2

=>

−69

q

=

−23

1

or,q=3

Now,p=

x

1

=2=>x=

2

1

andq=

y

1

=3=>y=

3

1

∴x=

2

1

andy=

3

1

Step-by-step explanation:

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