Answer:
Equation Form:
x=7,y=−2
Explanation:
Multiply each equation by the value that makes the coefficients of x
opposite.
(−1)⋅(2x+5y)=(−1)(4)
2x−2y=18
Simplify.
−2x−5y=−4
2x−2y=18
Add the two equations together to eliminate x
from the system.
(−2x−5y=−4) +(2x−2y=18) = (-7y=14)
Divide each term by −7 and simplify.
y=−2
Substitute the value found for y into one of the original equations, then solve for x.
x=7
The solution to the independent system of equations can be represented as a point. (7,−2)
The result can be shown in multiple forms.
Point Form:
(7,−2)
Equation Form:
x=7,y=−2