Question

Determine (yes or no) whether the given values of the variables listed are solutions to the system

of equations:
x + 3y = −2
2x −y = 10
a) x = 3, y = −1
b) x = 4, y = −2

Answer 1

Answer: no, yes

Explanation:

`2x-y=10 \implies -y=10-2x \implies y=2x-10`

Substituting this into the first equation, we get:

`x+3(2x-10)=-2\\\\x+6x-30=-2\\\\7x=28\\\\x=4\\\\\implies y=2(4)-10=-2`