Answer: x = 3, y = 4; (3, 4)
Explanation:
To solve, we will substitute one equation into the other and solve.
Given:
2x + y = 10
Substiute:
2x + (- 4x + 16) = 10
2x - 4x + 16 = 10
Combine like terms:
-2x + 16 = 10
Subtract 16 from both sides of the equation:
-2x = -6
Divide both sides of the equation by 3:
x = 3
Given:
y= - 4x + 16
Substuite:
y= - 4(3) + 16
Compute:
y = 4
We can also solve by graphing both of the equations. The point of intersection is the solution. See attached.