1.

If 2x+2y=22 and 3x -4y=12, what is the value of y/x ?

Answer»


Solution :None of the coefficients in EITHER EQUATION is 1, so using combination is a BETTER strategy than substitution here. Examine the coefficients of x : they don't share any FACTORS, so multiply each equation by the coefficient from the other equation:
`3 (2x + 2y =22) to 6x + 6y =66`
` 2 (3x -4y =12) to 6x -8y=24`
Subtract the second equation from the first:
`6x + 6y =66`
`-((6x-8y=24))/(14y=42)`
`y =3`
Next, you need x so you can determine the value of `y /x.` Substitute 3 for y in one of the original equations:
`2x + 2(3)=22`
`2x +6 =22`
` 2x =16`
` x =8`
Plug your x-axis and y-values into `c/x` to GET `3/8.` Grid in `3/8.`


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