2. Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this.
8x – 5y = 3
7x + y = 51

Question

2. Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this. 
8x – 5y = 3
7x + y = 51

anas.p · Answer

Lets take the second equation and make y the subject.
$$y=51-7x$$ Now place this value in the first equation.

$$8x-5(51-7x)=3$$Now solve this equation.
$$8x-255+35x=3$$$$43x=258$$$$x=258/43$$$$x=6$$
Now place this equation in any of the above equations.
Lets put it in the first equation.$$8(6)-5y=3$$$$48-5y=3$$$$48-3=5y$$$$45=5y$$$$45/5=y$$$$y=9$$