Answer:
(-12,2)
Step-by-step explanation:
2x + 4y = -16
2y - x = 16
Multiply the bottom part by 2.
2x + 4y = -16
4y - 2x = 32
Add the equations and the answers to the equations up, and they will equal each other.
(2x + 4y) + (4y - 2x) = -16 + 32
8y = 16
y = 2
Plug y = 2 to the 2nd equation.
2*2 - x = 16
4 - x = 16
Subtract 4 from both sides.
-x = 12
Multiply both sides by -1.
x = -12
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Answer:
(2/5, 9/5)
Step-by-step explanation:
To find the solutions, we are given the value of y in terms of x: y = 2x + 1. We can plug this into the circle equation to get:
(x - 1)^2 + (2x + 1 - 1)^2 = 1
Now, we can expand and simplify:
x^2 - 2x + 1 + (2x)^2 = 1
x^2 - 2x + 1 + 4x^2 = 1
5x^2 - 2x = 0
Now, we can factor:
x(5x - 2) = 0
And, using the zero product property, we get two equations which we can solve:
x = 0
5x - 2 = 0
5x = 2
x = 2/5
Since x is 0 in the first solution, we use the other solution and plug it into the equation y = 2x + 1 to find y:
y = 2(2/5) + 1
y = 4/5 + 1
y = 9/5
This means the coordinates of the point is (2/5, 9/5)
It will be 6 because you just add it twice the amount to 3. Therefore, 3 *2=6
They are equal because if you make 4/5 into a denominator of 10 it is 8/10
