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
- \(\left \{ {{3x + 7y = 8} \atop {6x + 7y = 2}} \right.\)
- \(-\left \{ {{3x + 7y = 8} \atop {6x + 7y = 2}} \right.\) Vertically subtract them
- \((3x - 6x) + (7y - 7y) = (8 - 2)\)
- \(-3x = 6\)
- \(x = -2\)
Solve for y
Plug -2 for x into any equation for y
- \(3x + 7y = 8\)
- \(3(-2) + 7y = 8\)
- \(-6 + 7y = 8\)
- \(7y = 14\)
- \(y = 2\)
The solution to the system: (-2,2)
x = -2
y = 2
