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1. Solve for x 7 + 3(3 − 8x) = 4 − 6(2 + 5x) 7 + 9 − 24x = 4 − 12 − 30x 16 − 24x = −8 − 30x 6x = −24 x = −4 2. Solve for x 2 7 + = −3 5x 2x 4 + 35 = −30x 39 x=− 30 3. Solve the linear system x+y =1 2x + 2y = 4 Multiply first equation by −2 −2x − 2y = −2 On adding the two we get 0 = 2, which is not true, Hence no solution. 4. Solve the following linear system 5x − y = 0 6x − 3y = 18 Use subsitition method.Solve for y in the first equation. We get y = 5x. Subsitute this in second equation. 6x − 3(5x) = 18 6x − 15x = 18 −9x = 18 x = −2 So y = 5 × −2, Hence the solution is (-2,10). 1