Question

Subtract the equations. 7x+2y=17 - (3x+2y=3)

Answer 1

= 7x+2y=17

- (3x+2y=3)

= 7x+2y=17

 -3x-2y=-3

= 7x+2y=17

 -3x-2y=-3

= 4x = 14

= x = 14/4

Answer 2

Answer: $x=\dfrac{7}{2}$

Step-by-step explanation:

The given equations are:

$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}$

Thus when we subtract the given equations, we get $x=\dfrac{7}{2}$