Question

Which ordered pair is the solution to the system of linear equations -5x+y= 26 and 2x- ly= 167

Answer 1

(-
`(193)/(3)` , -
`(914)/(3)` )

Explanation:

We have the sysytem of linear equation:

• -5x+y= 26 (1)
• 2x- y= 167 <=> y = 2x -176 (2)

Let substitute (2) into (1) we have"

-5x + (2x-176)= 26

<=> -3x = 26+176

<=> x = -
`(193)/(3)`

Substitute x = -
`(193)/(3)` into (2) we have:

y = 2(-
`(193)/(3)` ) -176 = -
`(914)/(3)`

The ordered pair is the solution to the system of linear equations is (-
`(193)/(3)` , -
`(914)/(3)` )

Hope it will find you well