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Answer:
4x+3y=5
Step-by-step explanation:
Subtract
4
x
from both sides of the equation.
3y = 5− 4x
Divide each term by 3 and simplify.
y= −4x 3+53
Rewrite in slope-intercept form.
y
=
−
4
3
x
+
5
3
Answer:
Ok, we have a system of equations:
6*x + 3*y = 6*x*y
2*x + 4*y = 5*x*y
First, we want to isolate one of the variables,
As we have almost the same expression (x*y) in the right side of both equations, we can see the quotient between the two equations:
(6*x + 3*y)/(2*x + 4*y) = 6/5
now we isolate one off the variables:
6*x + 3*y = (6/5)*(2*x + 4*y) = (12/5)*x + (24/5)*y
x*(6 - 12/5) = y*(24/5 - 3)
x = y*(24/5 - 3)/(6 - 12/5) = 0.5*y
Now we can replace it in the first equation:
6*x + 3*y = 6*x*y
6*(0.5*y) + 3*y = 6*(0.5*y)*y
3*y + 3*y = 3*y^2
3*y^2 - 6*y = 0
Now we can find the solutions of that quadratic equation as:

So we have two solutions
y = 0
y = 2.
Suppose that we select the solution y = 0
Then, using one of the equations we can find the value of x:
2*x + 4*0 = 5*x*0
2*x = 0
x = 0
(0, 0) is a solution
if we select the other solution, y = 2.
2*x + 4*2 = 5*x*2
2*x + 8 = 10*x
8 = (10 - 2)*x = 8x
x = 1.
(1, 2) is other solution
Answer:
x = 21
Step-by-step explanation:
Because GJ is a diameter, the angle K is a right angle (90 degrees).
Thus, 4x + 6 = 90, and 4x = 84. Thus, x = 21
Answer:
C
Step-by-step explanation:
A is a horizontal line on 3
B will cross the y axis at (0, -3), and the x axis (3, 0)
D will cross the y axis (0, 1) and the x axis (-0.5, 0)
As C does not have a y-intercept or x-intercept, it will it (0, 0)