Question

Solve equation 3x-5y=7 5x-2y=-1 by elimination

Answer 1

Answer: x= -1, y= -2

Explanation:

Multiply both sides of the equation by -2.

-6x + 10y= -14

5x - 2y= -1

Sum the equations vertically to eliminate at least one variable.

19x= -19

Divide both sides of the equation by 19.

x=-1

Substitute the given value of x into the equation 5x (-1) - 2y= -1.

Solve the equation for y.

y=-2

The possible solution of the system is the ordered pair (x,y)

Answer 2

x = -1, y = -2.

Explanation:

Using the elimination method,

multiply the first eqn by 2 and the 2nd eqn by 5.

6x - 10y = 14

25x - 10y = -5

Subtract one of the new equations from the other

-19x = 19

x = -1

Sub x=-1 into the 2nd eqn

-5 - 2y = -1

y = -2

Hence x = -1, y = -2.