Answer:
Best Method: Elimination
x = -2
y = 2
Step-by-step explanation:
Hello!
We can solve the system by elimination.
To solve by elimination, we want to completely eliminate a variable. To do that, we need to have that variable in the equations with the same or opposite coefficients. Then we can subtract or add them accordingly.
Solve for x
- [tex]\left \{ {{3x + 7y = 8} \atop {6x + 7y = 2}} \right.[/tex]
- [tex]-\left \{ {{3x + 7y = 8} \atop {6x + 7y = 2}} \right.[/tex] Vertically subtract them
- [tex](3x - 6x) + (7y - 7y) = (8 - 2)[/tex]
- [tex]-3x = 6[/tex]
- [tex]x = -2[/tex]
Solve for y
Plug -2 for x into any equation for y
- [tex]3x + 7y = 8[/tex]
- [tex]3(-2) + 7y = 8[/tex]
- [tex]-6 + 7y = 8[/tex]
- [tex]7y = 14[/tex]
- [tex]y = 2[/tex]
The solution to the system: (-2,2)
x = -2
y = 2
