2) 3x + 4y = 8

2x+y=42

a) (30, - 19)

b) (31, - 20)

c) (32,-22)

What is the answer

C

Step-by-step explanation:

We can solve simultaneous equations using substitution method, elimination method or graphical method. But for this purpose, we will be using the elimination method.

3x+4y=8 Equation 1

2x+y=42 Equation 2

Multiply Equation 1 by 2 and equation 2 by 3, so as to get the same coefficient for x

2 (3x+4y=8) = 6x+8y=16 Equation 3

3 (2x+y=42) = 6x+3y=126 Equation 4

Subtract equation 4 from 3, to eliminate x

6x-6x=0

8y-3y = 5y

16-126 = - 110

We now have 5y=-110

Divide both sides by 5,

y = - 110/5

= - 22

Substituting for y in equation 2

2x + (-22) = 42

2x = 42+22

2x=64

x = 64/2

= 32

(x, y)

(32, - 22)