Question

The system
2.+ 3y = 8
4x - y = 2
is solved algebraically. Which of the following can be used to correctly solve this system by using the elimination method? Selec
А
-2(2x + 3y = 8)
-4. -6y = -16
B
2(2x + 3y = 8)
-43 - 6y = 8
4r
-40 - by = -16
43 - y = 2
by : 8
2
4.2
- 4x + 4.r - by - y = -16 + 2
44-6y y = 8 + 2
C
34 - y = 2)
12-3y = 6
D
22. + 3y = 8)
13 6y = 16
2x + 3y = 8
12 - 3y = 6
4a +6y16
2
2x + 12x + 3y - 3y = 8 + 6
431-6yy = 16 + 2x

Answer 1

Solve by Equation

2 + 3y = 8 equation (1)
4x - y = 2 equation (2)

Equation (1) - (2)

2 - 4x + 3y - y = 8 - 2

-4x + 2y + 2 = 6

-4x + 2y + 2 -6 = 0

-4x + 2y -4 = 0

2y = 4x + 4

y = 2x + 2 equation (3)

In equation (1),

2 + 3(2x + 2) = 8

2 + 6x + 6 = 8

6x = 8 - 6 - 2

6x = 0

x = 0

In equation (2),

4(0) - y = 2

0 - y = 2

-y = 2

y = -2

Answer x = 0 and y = -2

By Sai Mont (Myanmar)