Answer:
(5, -10)
Step-by-step explanation:
Given system of equations:
[tex]\begin{cases}y=-4x+10&\\y=-3x+5\end{cases}[/tex]
Substitute the first equation into the second:
[tex]\implies -3x+5=-4x+10[/tex]
SOLVING FOR X.
Step 1: Add 4x to both sides.
[tex]\\\implies-3x+4x+5=-4x+4x+10\\\\\implies x+5=10[/tex]
Step 2: Subtract 5 from both sides.
[tex]\\\implies x+5-5=10-5\\\\\implies \boxed{x=5}[/tex]
SOLVING FOR Y.
Step 1: Substitute [tex]x=5[/tex] into any of the given equations.
[tex]\\\implies y=-4(5)+10[/tex]
Step 2: Simplify.
[tex]\\\implies y=-20+10\\\\\implies \boxed{y=-10}[/tex]
The solution to the system of equations is (5, -10).
