Answer: D
Step-by-step explanation:
Consider the first equation. Subtract 3x from both sides.
y−3x=−2
Consider the second equation. Subtract x from both sides.
y−2−x=0
Add 2 to both sides. Anything plus zero gives itself.
y−x=2
To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
y−3x=−2,y−x=2
Choose one of the equations and solve it for y by isolating y on the left hand side of the equal sign.
y−3x=−2
Add 3x to both sides of the equation.
y=3x−2
Substitute 3x−2 for y in the other equation, y−x=2.
3x−2−x=2
Add 3x to −x.
2x−2=2
Add 2 to both sides of the equation.
2x=4
Divide both sides by 2.
x=2
Substitute 2 for x in y=3x−2. Because the resulting equation contains only one variable, you can solve for y directly.
y=3×2−2
Multiply 3 times 2.
y=6−2
Add −2 to 6.
y=4
The system is now solved.
y=4,x=2
At x=3 the y output is 7.428. At x=5 the y output is 7.729. Since te rate of change is rise/run, run being the x, you know that it is (something) over 2. The rise would be the difference of the two y outputs. 7.729-7.428= 0.301. Therefore, 0.301/2 would be your answer. Checked by y=0.301/2x+6.975 - the two limes line up at x=3 until x=5 exactly.
A, because its reflecting off of the y axis
7/9 + 5/6 + 3 2/3
7/9 + 5/6 + 11/3
Common denominator is 18 so we get
14/18 + 15/18 + 66/18
= 95/18 cups of milk
Multiply this by 3 (since he uses 1/3 cups per latte)
= 285/18 = 15 15/18 = 15 5/6 cups of latte
Step-by-step explanation:
5√x+3 = -20
÷5. : √x+3 = -4
square: x+3 = 16
-3: x = 13
√x+18 -2 = x -4
+2 : √x+18 = x -2
square: x+18 = x^2 - 4x +4
-18: x = x^2 -4x -14
-x : 0 = x^2 -5x - 14
foil: (x- 7) (x+2) = 0
x = 7, -2