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) q2=7(7, 2, 10, 14)(e) r-4=0(4, -4, 8, 0)(f) x+4=2(-2, 0, 2, 4)

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) q2=7(7, 2, 10, 14)(e) r-4=0(4, -4, 8, 0)(f) x+4=2(-2, 0, 2, 4)

Accepted Answer

(a) 5m=60For m = 10, LHS = 5 x 10 = 50, RHS = 60Thus, LHS ≠ RHSSo, m = 10 is not the solution to the equationFor m = 5, LHS = 5×5 = 25, RHS = 60Thus, LHS ≠ RHSSo, m = 5 is not the solution to the equationFor m = 12, LHS = 5 x 12 = 60, RHS = 60Thus, LHS = RHSSo, m = 12 is the solution to the equationFor m = 15 LHS = 5 x 15 = 75, RHS = 60Thus, LHS ≠ RHSSo, m = 15 is not the solution to the equation(b) n+12=20For n = 12, LHS = 12 + 12 = 24, RHS = 20Thus, LHS ≠ RHSSo, n = 12 is not the solution to the equationFor n = 8, LHS = 8 + 12 = 20, RHS = 20Thus, LHS = RHSSo, n = 8 is the solution to the equationFor n = 20, LHS = 20 + 12 = 32, RHS = 20Thus, LHS ≠ RHSSo, n = 20 is not the solution to the equationFor n = 0, LHS = 0 + 12 = 12, RHS = 20Thus, LHS ≠ RHSSo, n= 0 is not the solution to the equation(c) p-5=5For p = 0, LHS = 0 – 5 = -5, RHS = 5Thus, LHS ≠ RHSSo, p = 0 is not the solution to the equationFor p = 10, LHS = 10 – 5 = 5, RHS = 5Thus, LHS = RHSSo, p = 10 is the solution to the equationFor p = 5, LHS = 5-5=0, RHS = 5Thus, LHS ≠ RHSSo, p = 5 is not the solution to the equationFor p = -5, LHS = -5 – 5 = - 10, RHS = 5Thus, LHS ≠ RHSSo, p = -5 is not the solution to the equation(d) q2=7For q = 7, LHS = 7/2 , RHS = 7Thus, LHS ≠ RHSSo, q = 7 is not the solution to the equationFor q = 2, LHS = 2/2 = 1, RHS = 7Thus, LHS ≠ RHSSo, q = 2 is not the solution to the equationFor q = 10, LHS = 10/2 = 5, RHS = 7Thus, LHS ≠ RHSSo, q = 2 is not the solution to the equationFor q = 14, LHS = 14/2 = 7, RHS = 7Thus, LHS ≠ RHSSo, q = 14 is the solution to the equation(e) r-4=0 For r = 4, LHS = 4 – 4 = 0, RHS = 0Thus, LHS = RHSSo, r = 4 is the solution of the equationFor r = -4, LHS = -4 – 4 = -8, RHS = 0Thus, LHS ≠ RHSSo, r = -4 is not the solution of the equationFor r = 8, LHS = 8 – 4 = 4, RHS = 0Thus, LHS ≠ RHSSo, r = 8 is not the solution of the equationFor r = 0, LHS = 0 – 4 = – 4, RHS = 0Thus, LHS ≠ RHSSo, r = 0 is not the solution of the equation(f) x+4=2For x = -2, LHS = -2 + 4 = 2, RHS = 2Thus, LHS = RHSSo, x = -2 is the solution of the equationFor x = 0, LHS = 0 + 4 = 4, RHS = 2Thus, LHS ≠ RHSSo, x = 0 is not the solution of the equationFor x = 2, LHS = 2 + 4 = 6, RHS = 2Thus, LHS ≠ RHSSo, x = 2 is not the solution of the equationFor r = 4, LHS = 4 + 4 = 8, RHS = 2Thus, LHS ≠ RHSSo, x = 4 is not the solution of the equation

(a) $5 m = 60$	$(10, 5, 12, 15)$
(b) $n + 12 = 20$	$(12, 8, 20, 0)$
(c) $p - 5 = 5$	$(0, 10, 5, - 5)$
(d) $\frac{q}{2} = 7$	$(7, 2, 10, 14)$
(e) $r - 4 = 0$	$(4, - 4, 8, 0)$
(f) $x + 4 = 2$	$(- 2, 0, 2, 4)$

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