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Mathematics

Find the value of:

(i) 3x + 2y when x = 3 and y = 2

(ii) 5x - 3y when x = 2 and y = 5

(iii) a + 2b - 5c when a = 2, b = 3 and c = 1

(iv) 2p + 3q + 4r + pqr when p = 1, q = 2 and r = 3

(v) 3ab + 4bc - 5ca when a = 4, b = 5 and c = 2

Algebra Basics

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Answer

(i) Substituting x = 3 and y = 2 in the given expression, we get:

3x + 2y

= 3(3) + 2(2)

= 9 + 4

∴ 3x + 2y = 13

(ii) Substituting x = 2 and y = 5 in the given expression, we get:

5x - 3y

= 5(2) - 3(5)

= 10 - 15

∴ 5x - 3y = -5

(iii) Substituting a = 2, b = 3 and c = 1 in the given expression, we get:

a + 2b - 5c

= 2 + 2(3) - 5(1)

= 2 + 6 - 5

∴ a + 2b - 5c = 3

(iv) Substituting p = 1, q = 2 and r = 3 in the given expression, we get:

2p + 3q + 4r + pqr

= 2(1) + 3(2) + 4(3) + (1)(2)(3)

= 2 + 6 + 12 + 6

∴ 2p + 3q + 4r + pqr = 26

(v) Substituting a = 4, b = 5 and c = 2 in the given expression, we get:

3ab + 4bc - 5ca

= 3(4)(5) + 4(5)(2) - 5(2)(4)

= 60 + 40 - 40

∴ 3ab + 4bc - 5ca = 60

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