Answer: [tex]x=\dfrac{7}{2}[/tex]
Step-by-step explanation:
The given equations are:
[tex]7x+2y=17
............................................(1)\\\\\text{ and }3x+2y=32..............................(2)/tex]
When we subtract equation (2) from equation (1) , we subtract the right hand side of equation (1) from the right hand side of equation (2) and similarly for left side equation, we get
[tex]7x-3x+2y-2y=17-3\\\\\Rightarrow\(7-3)x+(2-2)y=17-3 \\\\\Rightarrow\ 4x+0=14\\\\\Rightrrow\ x=\dfrac{14}{4}=\dfrac{7}{2}[/tex]
Thus when we subtract the given equations, we get [tex]x=\dfrac{7}{2}[/tex]
