127k views
2 votes
4x + y = 82x - y = 10

User Rhesa
by
4.2k points

1 Answer

3 votes

Answer:

x = 3, y = -4

Step-by-step explanation:

Given the simultaneous equation:

4x + y = 8 ....1

2x - y = 10​ ....2

Using the Elimination method

Add both equations

4x + 2x = 8 + 10

6x = 18

Divide both sides by 6

6x/6 = 18/6

x = 18/6

x = 3

Substitute x = 3 into equation 1;

From 1;

4x+y = 8

4(3) + y = 8

12 + y = 8

y = 8 - 12

y = -4

Hence the solution to the system of equation is (3, -4)

User Roboles
by
4.4k points