Question

PLEASE HELP


Find the solution to the system of equations by substitution.

p = q + 2

2p + 3q = -26

Answer 1

p = q + 2 Eqn(1)
2p + 3q = -26 Eqn(2)

With these sets of equations, we can substitute the value of p in equation 1, in to equation 2, with one equation and one unknown, we can begin to solve for q.

2(q+2)+3q=-26

Expanding the brackets gives

2q+4+3q=-26

Collecting like terms:

5q+4=-26

Subtracting 4 from both sides

5q=-30

Divide 5 from both sides

q=-6

Answer 2

This value of q can be used to find p in equation 1.

Answer 3

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