Question

Solve by substitution and elimination
2x - y = 5 and 3x – 5y = 4

Answer 1

Step-by-step explanation:

2x-y=5 by 3x-5y=4

8x-4y=15x-25y

8x+15x=25y+4y

23x=29y

Answer 2

Answer:

The values of x and y in the given equations is 3 and 1 respectively

The solution is (3,1)

Step-by-step explanation:

Given equations are $2x-y=5\hfill (1)$

and $3x-5y=4\hfill (2)$

To solve the given equation by elimination method :

Mutliply the equation (1) into 5 we get $10x-5y=25\hfill (3)$

Now subtracting the equations (2) and (3) we have

$3x-5y=4$

$10x-5y=25$

(-)__(+)__(-)__

$-7x=-21$

$7x=21$

$x=\frac{21}{7}$

Therefore x=3

Substituting the value of x=3 in the equation (1)

2(3)-y=5

6-y=5

-y=5-6

-y=-1

Therefore y=1

The solution is (3,1)

The values of x and y in the given equations is 3 and 1 respectively