1.

If 2x-3y=14 and 5x+3y=21, what is the value of x ?

Answer»

`-1`
0
`7/3`
5

Solution :This system is already set up perfectly to solve using combination because the y terms `(-3 y and 3Y)` are OPPOSITES. Add the two equation to CANCEL `-3yand 3y.` Then solve the resulting equation for x:
`2x -3y=14`
`(+5x +3y =21)/({:(7x, =53),(x, =5):})`
Choice (D) is correct. The equation asks only for the value of x, so you don't need to substitute x back into EITHER equation to find the balue of y.


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