Q:

Simultaneous equations ! Who can help

Accepted Solution

A:
The cost of glass is:  £4 The cost of mug =  £2Step-by-step explanation:Let g be the number of glasses andm be the number of mugs[tex]3g+3m = 18\ \ \ \ \ Eqn\ 1\\6g+4m=32\ \ \ \ \ Eqn\ 2[/tex]Multiplying equation 1 by 2[tex]6g+6m=36\ \ \ \ Eqn\ 3[/tex]Subtracting Eqn 2 from Eqn 3[tex]6g+6m - (6g+4m) = 36-32\\6g+6m-6g-4m=4\\2m=4[/tex]Dividing both sides by 2[tex]\frac{2m}{2} = \frac{4}{2}\\m = 2[/tex]Putting m=2 in eqn 1[tex]3g+3(2) = 18\\3g+6 = 18\\3g = 18-6\\3g = 12[/tex]Dividing both sides by 3[tex]\frac{3g}{3} = \frac{12}{3}\\g = 4[/tex]Hence,The cost of glass is:  £4 The cost of mug =  £2Keywords: Linear Equation, simultaneous equationsLearn more about linear equation at:brainly.com/question/2367554brainly.com/question/2670657#LearnwithBrainly