Answer:
x=86/49,y=−8/7
Step-by-step explanation:
Write the problem as a mathematical expression.
7x−5y=18
7x+2y=10
Multiply each equation by the value that makes the coefficients of x opposite.
(−1)⋅(7x−5y)=(−1)(18)
7x+2y=10
Simplify.
−7x+5y=−18
7x+2y=10
Add the two equations together to eliminate x
from the system.
− 7x+ 5y=−18
7x+2y =10
7y=−8
Divide each term by 7 and simplify.
y=−8/7
Substitute the value found for y into one of the original equations, then solve for x .
x=86/49
The solution to the independent system of equations can be represented as a point.
(86/49,−8/7)
The result can be shown in multiple forms.
Point Form:
(86/49,−8/7)
Equation Form:
x=86/49,y=−8/7
