Answer:
{12, 16}
Step-by-step explanation:
The difference of two <em>numbers (x and y)</em> is 4. Thus, if y is the larger, then y - x = 4. Also, y = 2x - 8.
So we need to solve the system of linear equations
y - x = 4
y = 2x - 8
Subbing 2x - 8 for y, in the first equation, we get (2x - 8) - x = 4, or
x - 8 = 4, and conclude that x = 12. Then, because y - x = 4, y must be 16.
The numbers are 12 and 16.
Answer:
Step-by-step explanation:
By similar triangles (use the two smaller ones
7 / x = x / 3 Cross multiply
x^2 = 21 Take the square root of both sides
√x^2 = √21
x = √21
G(x)=-2x-4
f(x)=15+0.75x
the common solution Q is their intersection-> calculate x by setting them equal:
-2x-4=15+0.75x
-2x-(3/4)x=19
-(11/4)x=19
x=-4*19/11
x=-76/11
calculate y:
f(-76/11)=15+(3/4)*(-76/11)
=15+(-3*19/11)
=15+(-57/11)
=15+-5-(2/11)
=10-(2/11)
=108/11
so the solution is a) (-76/11, 108/11)
''Pick any two pairs of equations<span> from the system. Eliminate the same </span>variable<span> from each pair using the Addition/Subtraction method. Solve the system of the two new </span>equations<span> using the Addition/Subtraction method.''</span>