Question

@Solve the following system of equations. Please show your work to receive full credit.
x - y = 10
2x + y = 2
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Answer 1

Either use elimination or substitution, either works.

Answer 2

(4, -6)

Answer 3

I want to use elimination but I dont know it works

Answer 4

elimination...
if you add the two equations, you will see that the y's cancel each other out
x - y = 10
2x + y = 2
----------------add
3x = 12
x = 4

now sub 4 in for x in either of the original equations
x - y = 10
4 - y = 10
-y = 10 - 4
-y = 6
y = -6

check...
2x + y = 2
2(4) + (-6) = 2
8 - 6 = 2
2 = 2 (correct)

x = 4 and y = -6 or (4,-6)

any questions ?

Answer 5

x - y = 10
x-10 = y

2x + y = 2
2x +(x-10) = 2
3x = 12
x = 4

x-10 = y
4-10 = y
-6 = y