Question

What values of x

and y
satisfy the system of equations {x=−2y+13
x+8y=11?

Enter your answer as an ordered pair, like this: (42, 53)

If your answer includes one or more fractions, use the / symbol to separate numerators and denominators. For example, if your answer is (4253,6475),
enter it like this: (42/53, 64/75)

If there is no solution, enter "no"; if there are infinitely many solutions, enter "inf."

Answer 1

(-1/3, 41/3)

Explanation:

x + 2y = 13

x + 8y = 11 (Multiply by -1)

-x -8y = -11

x + 2y = 13

-6y = 2 Divide both sides by -6

y =
`(-2)/(6)` =
`(-1)/(3)`

y =
`(-1)/(3)`

Solve for x by substituting
`(-1)/(3)` for y

x = -2y + 13

x = -2(
`(-1)/(3)`) + 13

x =
`(2)/(3)` + 13

x =
`(2)/(3)` +
`(39)/(3)`

x =
`(41)/(3)`

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