Answer:
The first step in solving the equation is "set each binomial factor equal to zero" ⇒ 3
Step-by-step explanation:
To solve a quadratic equation y = ax² + bx + c
- Put y = 0
- Factorize it into two binomial factors (x ± m)(x ± n)
- Equate each binomial factor by 0 to find the values of x
- The values of x are the solution of the equation
∵ The equation is (x + 2)(x - 3) = 0
∵ The equation equated by 0
∵ It is factored into 2 binomial factors (x + 2) and (x - 3)
- The next step is equated each factor by 0 to find the values of x
∴ The 1st step in solving (x + 2)(x - 3) = 0 is set x + 2 = 0 and
x - 3 = 0
The first step in solving the equation is "set each binomial factor equal to zero"
Answer:
x = -5.85
Step-by-step explanation:
Solve the equation
1)
Subtract -2.7 on both sides by doing the inverse operation.
2)
Multiply both sides by -9/2 to cancel out -2/9x, so that you can isolate "x" by itself.
3)
Answer:
the answer is (-4, 5)
Step-by-step explanation:
Let's use elimination by addition / subtraction:
-6x - 2y = 14
6x + 7y = 11
-------------------
5y = 25, so y = 5.
Substituting 5 for y in the 2nd equation, we get:
6x + 7(5) = 11, or:
6x + 35 = 11, or
6x = -24, or x = -4.
Thus, the answer is (-4, 5). Please double check to ensure you have copied down both system of equations and answer correctly.
Check: Is (-4, 5) a solution to this system?
Subst. -4 for x and 5 for y in the first equation:
-3(-4) - (5) = 7
12 - 5 = 7 YES
X=original price
increased by 20%
100+20=120
increased by 20% means times 1.20
1.20x is new price
then reduced by 10%
100-10=90
1.20x times 0.90=final price
1.08x=final pricie
given final price=194.40
1.08x=194.40
divide both sides by 1.08
x=180
the original price was $180
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