9x +3y = -68
-2x + y = 18
-2x + y = 18
-2x + 2x + y = 18 + 2x
y = 18 + 2x
Substitute 18 + 2x for y in the first equation, and solve for x:
9x +3y = -68
9x + 3(18 + 2x) = -68
9x + 54 + 6x = -68
15x + 54 = -68
15x + 54 - 54 = -68 - 54
15x = -122
15x ÷ 15 = -122 ÷ 15
x = - 122/15 or x = -8 2/15
Substitute -122/15 for x to y = 18 + 2x and solve for y:
y = 18 + 2x
y = 18 + 2(-122/15)
y = 18 - 244/15
y = [(18)(15) - 244]/15
y = (270 - 244)/15
y = 26/15
Check:
Thus, the solution is (-8 2/15, 26/15)
Great. A multiple choice question without the choices.
16
The answer is - not are - (-6, 9).
x = 3 and y = -4
Simultaneous equations.
2x plus 3y
9x+3y=-68 -2x+y=18 We are asked to solve with substitution so we first write y=18+2x. Let us substitute this into the first equation. 9x+3(18+2x)=-68 9x+54+6x=-68 15x=-68-54=-122 so x=-122/15 and y =18+2(-122/15)==18+-244/15=270/15-244/15=26/15 So the solution is (-122/15,26/15) which is an ordered pair.
bonded
Great. A multiple choice question without the choices.
The answer is - not are : (1, 7).
The answer is - not are : (5, 1).
16
The answer is - not are - (-6, 9).
There are an infinite number of ordered pairs that satisfy the equation.
x = 3 and y = -4
x = 3 and y = 5
x = 1 and y = -1 (1, -1)