Question

use the elimination method to solve the system of equations choose the correct ordered pair x+y=6 x-y=4
A.(6,0)
B(2,4)
C.(5,1)
D.(3,3)

Answer 1

x+y=6
x-y=4
- + -
2y=2
y=2/2
y=1

x+y=6
x+1=6
x=6-1
x=5

it's C (5,1)

Answer 2

Answer:

The correct option is C. The solution of given system of equations is (5,1).

Step-by-step explanation:

The given equations are

$x+y=6$           .... (1)

$x-y=4$           .... (2)

Add equation (1) and (2), to eliminate y.

$2x=10$

Divide both sides by 2.

$x=5$

The value of x is 5. Put this value in equation (1).

$5+y=6$

Subtract 5 from both the sides.

$y=6-5$

$y=1$

The value of y is 1. The point (5,1) is the solution of the given system of equations.

Therefore the correct option is C.