Answer:
(10, 3)
Step-by-step explanation:
Solve by Substitution
2x − 4y = 8 and 7x − 3y = 61
Solve for x in the first equation.
x = 4 + 2y 7x − 3y = 61
Replace all occurrences of x with 4 + 2y in each e quation.
Replace all occurrences of x in 7x − 3y = 61 with 4 + 2y. 7 (4 + 2y) − 3y = 61
x = 4 + 2y
Simplify 7 (4 + 2y) − 3y.
28 + 11y = 61
x = 4 + 2y
Solve for y in the first equation.
Move all terms not containing y to the right side of the equation.
11y = 33
x = 4 + 2y
Divide each term by 11 and simplify.
y = 3
x = 4 + 2y
Replace all occurrences of y with 3 in each equation.
Replace all occurrences of y in x = 4 + 2y with 3. x = 4 + 2 (3)
y = 3
Simplify 4 + 2 (3).
x = 10
y = 3
The solution to the system is the complete set of ordered pairs that are valid solutions.
(10, 3)
The result can be shown in multiple forms.
Point Form:
(10, 3)
Equation Form:
x = 10, y = 3
Answer:
180 square feet
Step-by-step explanation:
We know that the rectangular drawing has:
- 5 inches long (L)
- 4 inches wide (W)
And we also know that:
<em>1 inch = 3 feet</em>
We will find how many feet long and wide is the actual room, by multiplying:
Long: 5 inches * 3 feet/inch = 15 feet
Wide: 4 inches * 3 feet/ inch = 12 feet
Now we want to know the area of the rectangle, and the area of the rectangle is:
<em>A = L*W</em>
<em>A = 15 feet * 12 feet</em>
A = 180 square feet
The answer is -4 for it to be translated right.
It simplifies to -6a^6b^2c^5+2a^2bc^6
