The answer is x = 10, y = 10.
Step 1: rearrange the second equation for y.
Step 2: substitute y from the second equation into the first equation.
Step 3. Calculate y.
Step 1.
<span>The second equation is: 6x + 3y = 90
Divide both sides of the equation by 3:
(6x + 3y)/3 = 90/3
6x/3 + 3y/3 = 30
2x + y = 30
Rearrange the equation:
y = 30 - 2x
Step 2.
</span>Substitute y from the second equation (y = 30 - 2x) into the first equation:
<span>15x + 9y = 240
15x + 9(30 - 2x) = 240
15x + 270 - 18x = 240
15x - 18x = 240 - 270
-3x = -30
x = -30/-3
x = 10
Step 3.
Since </span>y = 30 - 2x and x = 10, then:
y = 30 - 2 * 10
y = 30 - 20
y = 10
Answer: No.
Reason: (-1, -3) is (x, y) so, let's find -1 on the X scale first. Alright, -1 is in the blue, which is a great start. Now, it's -3 on the Y portion. And when you graph that, it's not in the blue shaded area, so no, it's not a solution. (TIP: Solution is the Shaded Area)
Answer:
4.5
Step-by-step explanation:
The equation of an area of a circle is A=πr² where r is the radius.
The radius is also half the diameter. So the radius of the quarter is 1.2
A=π(1.2)²
A=π(1.44)
A=4.52389
Please graph the triangle using the info in the description provided. The answer to this question will likely become self-evident if your drawing is correct. Remember, the sum of the 3 interior angles of any triangle is always 180 degrees.
First we move 6y to the other side. To do this, you subtract 6y on both sides
C
- 6y = 8.5x + 6y -
6yC - 6y = 8.5x
No divide both sides by 8.5 to isolate x