For what value of k will the system 2x + 3y = 7 and 4x ... – Algebra

Algebramedium · Past Paper

For what value of k will the system 2x + 3y = 7 and 4x + ky = 14 have infinitely many solutions?

D12

✓ Correct Answer: B — 6

For infinite solutions, ratios must be equal: 2/4 = 3/k -> 1/2 = 3/k -> k = 6.

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