Question 1173247
<pre><font face = "consolas" color = "indigo" size = 4><b>
Hi  
y = 3x + 7
y = -4x + 21
solving this System of Equations:
y  -3x = 7
y + 4x = 21     |Multiplying the 1st EQ by -1 to eliminate y

-y + 3x = -7
<u>y + 4x = 21</u>
   7x = 14
x = 2   and we know y = 3x + 7  {{{y =3*2+7}}} y = 13
Ordered Pair P(2,13) is the solution for this system of Equations
Wish You the Best in your Studies.
Sketching the two Lines and showing their Intersection
y = 3x + 7 (Green)      y = -4x + 21 (Blue)  Note it slants to the left(negative slope)
{{{drawing(300,300,    -20,20,-20,20, 
 grid(1),
circle(2, 13,0.4),

graph( 300, 300, -20,20,-20,20,0, 3x+7,-4x +21))}}}