Question

Solve for x and y.

2x + y=1
6x − 3y=5

Answer 1

easiest: triple the first equation, then add the equations

Answer 2

... after tripling, first eqn becomes 6x+3y=3

Answer 3

x=2/3

Answer 4

y= -1/3

Answer 5

2x + y = 1
y = -2x + 1
now sub -2x + 1 in for y in the other equation

6x - 3y = 5
6x - 3(-2x + 1) = 5
6x + 6x - 3 = 5
6x + 6x = 5 + 3
12x = 8
x = 8/12
x = 2/3

now sub 2/3 in for x in either equation to find y
2x + y = 1
2(2/3) + y = 1
4/3 + y = 1
y = 1 - 4/3
y = 3/3 - 4/3
y = -1/3

check..
6x - 3y = 5 2x + y = 1
6(2/3) - 3(-1/3) = 5 2(2/3) + (-1/3) = 1
4 + 1 = 5 4/3 - 1/3 = 1
5 = 5 (correct) 3/3 = 1
1 = 1 (correct)

x = 2/3 and y = -1/3

any questions ?

Answer 6

@texaschic101 A well deserved medal

Answer 7

thank you :)

Answer 8

Thx for the help