JAMB 2002 · UME · Q35

Linear & simultaneous equations

If $-2$ is the solution of the equation $2x + 1 - 3c = 2c + 3x - 7$ , find the value of $c$ .

Worked solution (try it first)

Put $x = -2$ into both sides.
The left is $2(-2) + 1 - 3c = -3 - 3c$ .
The right is $2c + 3(-2) - 7 = 2c - 13$ .
So $-3 - 3c = 2c - 13$ .
Add 13 and $3c$ to both sides: $10 = 5c$ .
Divide by 5: $c = 2$ , option B.

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