If (1,p) is a solution of the simultaneous equations

12x(square) - 5y(square) = 7

2p(square)x - 5y = 7

find the value of p and the other solution.

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- Dec 5th 2010, 06:40 AMIlsaSimultaneous Equations
If (1,p) is a solution of the simultaneous equations

12x(square) - 5y(square) = 7

2p(square)x - 5y = 7

find the value of p and the other solution. - Dec 5th 2010, 07:29 AMPunch

**substitute (1,p)**

- Dec 5th 2010, 08:42 AMSoroban
Hello, Ilsa!

Quote:

. . . . .

Substitute into [1]: .

Substitute into [2]: .

. . . . . . . . . . . . . .

. . One solution is

The two equations become: .

Substitute [4] into [3]: .

. . which simplifies to: .

. . which factors: .

. . and has roots: .

Substitute into [4]: .

The solutions are: .

- Dec 5th 2010, 10:58 AMArchie Meade