Find the values of x and y that satisfy: 4x + 6/y = 15 ... – Algebra

Algebrahard · Past Paper

Find the values of x and y that satisfy: 4x + 6/y = 15 and 6x - 8/y = 14.

Ax=3, y=2

Bx=3, y=1/2

Cx=2, y=2

Dx=2, y=1/2

✓ Correct Answer: A — x=3, y=2

Let v=1/y. 4x+6v=15, 6x-8v=14. Multiply first by 4, second by 3: 16x+24v=60, 18x-24v=42. Adding: 34x=102 -> x=3. 4(3)+6v=15 -> 6v=3 -> v=1/2. So y=2.

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