    Question

# Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation. (a) 5m = 60 (10, 5, 12, 15) (b) n + 12 = 20 (12, 8, 20, 0) (c) p − 5 = 5 (0, 10, 5 − 5) (d) (7, 2, 10, 14) (e) r − 4 = 0 (4, − 4, 8, 0) (f) x + 4 = 2 (− 2, 0, 2, 4)

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Solution

## (a) 5m = 60 m = 12 is a solution to the given equation because for m = 12, 5m = 5 × 12 = 60 and hence, the equation is satisfied. m = 10 is not a solution to the given equation because for m = 10, 5m = 5 × 10 = 50, and not 60 m = 5 is not a solution to the given equation because for m = 5, 5m = 5 × 5 = 25, and not 60 m = 15 is not a solution to the given equation because for m = 15, 5m = 5 × 15 = 75, and not 60 (b) n + 12 = 20 n = 8 is a solution to the given equation because for n = 8, n + 12 = 8 + 12 = 20 and hence, the equation is satisfied. n = 12 is not a solution to the given equation because for n = 12, n + 12 = 12 + 12 = 24, and not 20 n = 20 is not a solution to the given equation because for n = 20, n + 12 = 20 + 12 = 32, and not 20 n = 0 is not a solution to the given equation because for n = 0, n + 12 = 0 + 12 = 12, and not 20 (c) p − 5 = 5 p = 10 is a solution to the given equation because for p = 10, p − 5 = 10 − 5 = 5 and hence, the equation is satisfied. p = 0 is not a solution to the given equation because for p = 0, p − 5 = 0 − 5 = −5, and not 5 p = 5 is not a solution to the given equation because for p = 5, p − 5 = 5 − 5 = 0, and not 5 p = −5 is not a solution to the given equation because for p = −5, p − 5 = − 5 − 5 = −10, and not 5 (d) q = 14 is a solution to the given equation because for q = 14, and hence, the equation is satisfied. q = 7 is not a solution to the given equation because for q = 7, , and not 7 q = 2 is not a solution to the given equation because for q = 2, , and not 7 q = 10 is not a solution to the given equation because for q = 10, , and not 7 (e) r − 4 = 0 r = 4 is a solution to the given equation because for r = 4, r − 4 = 4 − 4 = 0 and hence, the equation is satisfied. r = −4 is not a solution to the given equation because for r = −4, r − 4 = − 4 − 4 = −8, and not 0 r = 8 is not a solution to the given equation because for r = 8, r − 4 = 8 − 4 = 4, and not 0 r = 0 is not a solution to the given equation because for r = 0, r − 4 = 0 − 4 = −4, and not 0 (f) x + 4 = 2 x = −2 is a solution to the given equation because for x = −2, x + 4 = − 2 + 4 = 2 and hence, the equation is satisfied. x = 0 is not a solution to the given equation because for x = 0, x + 4 = 0 + 4 = 4, and not 2 x = 2 is not a solution to the given equation because for x = 2, x + 4 = 2 + 4 = 6, and not 2 x = 4 is not a solution to the given equation because for x = 4, x + 4 = 4 + 4 = 8, and not 2  Suggest Corrections  0      Similar questions  Explore more