Answer:
[tex]\boxed{\sf \ \ \ x=2 \ \ y=3 \ \ \ }[/tex]
Step-by-step explanation:
Hello, we have two equations and two unknowns
(1) 4x = -3y + 17
(2) 3x - 4y = -6
We can solve them algebraically
for instance from (1) we can divide by 4 and then write
(1') [tex]\dfrac{4x}{4}=x=\dfrac{-3y+17}{4}[/tex]
and then replace this expression of x in (2) it comes
[tex]3*\dfrac{-3y+17}{4}-4y=-6 \ \ \ multiply \ by \ 4 \\<=> -3*3y+3*17-4*4y=-6*4\\<=> -9y+51-16y=-24 \ \ \ substract \ 51\\\\<=> -25y=-24-51=-75 \ \ \ divide \ by \ -25\\<=> y = \dfrac{75}{25}=3[/tex]
and then
[tex]x=\dfrac{-3*3+17}{4}=\dfrac{-9+17}{4}=\dfrac{8}{4}=2[/tex]
we can solve it graphically as well
we just need to graph the two lines and find the intersection point as shown below
hope this helps
