Use the multiplication method to solve the following systems of equations. 1. 4q – 2r = 36 and 6q + r = 10

r = -11, q =3.5

Step-by-step explanation:

4q – 2r = 36   eqn. 1

6q + r = 10 eqn 2.

from eqn. 2 make r subject formula i.e.

r = 10- 6q   (substitute for 'r' in eqn. 1)

we have;

4q - 2(10-6q) = 36 (open bracket)

4q -20 + 12q = 36 (collect like terms)

4q+12q = 36+20

16q = 56

q = 56/16

q = 3.5

substitute for q in eqn. 2

6(3.5) + r = 10

21 + r = 10

r = 10-21

r = -11, q =3.5

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step-by-step explanation: