Question

Solve the following systems by the substitution method 4x -y =3 2x + 3y = 19

Answer 1

If this is what you meant then follow these steps ↓

Your solutions ↓
Solution 1 →  4(x) - y = 3
Solution 2  → 2(x) + 3(y) = 19

Graphic Organizer ↓
Switch up the problem 
y + 4(x) = 3
 3(y) + 2(x) = 19

You might find the y-intercept in this step for solution 1. But we will see 
y= 4(x) - 3 

The y-intercept for solution 2 
2(x) + 3(4)(x) - 3 = 19 
14(x) = 28 

From the looks of of it we haven't found y-intercept but we did find the x-intercept 
14(x) = 28
 14(2) = 28, right?  
The answer is "yes" 
  So, x = 2 

Let's try again to find the y-intercept 
(y) = 4(2) - 3 = 5 
  y = 5 

Answer: 
$\left \{ {{x=2} \atop {y=5}} \right.$
x-intercept → 2
y-intercept → 5