Answer:
(2,4) is a solution to this system of equations
Step-by-step explanation:
Given system of equation are


To find the solution of the given system of equations
To Check that (2,4) is a solution to this system or not
Solving equations (1) and (2)
From equation (1) and y=2x
Now substitute y=2x is equation (2)






10-5x=0
-5x=-10

Substitute x=2 in equation (1)
y=2x
y=2(2)
Therefore y=4
Therefore the solution is (2,4)
Therefore (2,4) is a solution to the system of equations.
Answer: this is the answer
( {x}^{3} ) {}^{ - 5} = {x}^{ - 15}
Step-by-step explanation:
Answer:
5x^2 + 12x -3 =0 ---------> solve by quadratic formula
x^2 -4x = 8 ----------> solve by completing the square
4x^2 -25 = 0 ----------> solve by square root method
x^2-5x+ 6 = 0 -----------> solve by factoring
Step-by-step explanation:
1. 5x^2 + 12x -3 =0
The best way to solve this equation is quadratic formula as all the terms in the equation have coefficients it will be convenient to solve it through quadratic formula.
2. x^2 -4x = 8
The best way to solve this equation is by completing the square as the factors cannot be made directly.
3. 4x^2 -25 = 0
the best way to solve this equation is to solve by square root method as the 25 and 4 are perfect squares.
4. x^2-5x+ 6 = 0
The best way to solve this equation is to solve by factoring as it can clearly be seen that it is convenient to make factors ..
Answer:
- 8x + 9
Step-by-step explanation:
To evaluate g(2x - 1) substitute x = 2x - 1 into g(x), that is
g(2x - 1)
= - 4(2x - 1) + 5 ← distribute parenthesis and simplify
= - 8x + 4 + 5
= - 8x + 9
Only two numbers less than 100 have a factor of 40: 40 (1 x 40) and 80 (2 x 40). Since 40 is a factor of both 40 and 80, 10 must also be a factor - indeed, 40 = 4 x 10 and 80 = 8 x 10.
The two number must be 40 and 80.