B is the answer to this question
Answer:
x= −5
Step-by-step explanation:
The solution for the given equation is a = -5.
<h3>
What is an equation?</h3>
- An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =.
To find the solution to the given equation:
Negative (5 minus (a + 1)) = 9 minus (5 minus (2a minus 3)) can be expressed mathematically as follows.
- - (5 - (a + 1)) = 9 - (5 - (2a - 3))
Using the principle of PEMDAS, all the parenthesis values are first solved.
- - (5 - a - 1) = 9 - (5 - 2a + 3)
- -5 + a + 1 = 9 - 5 + 2a - 3
Collect like terms:
- -5 + 1 - 9 + 5 + 3 = 2a - a
- -5 = a
That is a = -5.
Therefore, the solution for the given equation is a = -5.
Know more about equations here:
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The correct question is given below:
What is the solution to the equation Negative (5 minus (a + 1)) = 9 minus (5 minus (2a minus 3))? a = –5 a = –3 a = 3 a = 5
Answer: chicken $8, duck $5
Explanation:
x - the cost of a chicken
y - the cost of a duck
he sold 50 chickens and 30 ducks for $550: 50x + 30y = 550
he sold 44 chickens and 36 ducks for $532: 44x + 36y = 532
50x + 30y = 550 divide by 10
44x + 36y = 550 divide by 4
______________
50x/10 + 30y/10 = 550/10
44x/4 + 36y/4 = 532/4
______________
5x + 3y = 55
Multiply by (-3)
11x + 9y = 133
______________
5x * (-3) + 3y * (-3) = 55 * (-3)
11x + 9y = 133
______________
-15x - 9y = -165
11x + 9y = 133
______________
Sum up:
-4x + 0y = -32
-4x = -32
x = -32/-4
x = 8
Since 5x + 3y = 55 and x = 8, then:
5 * 8 + 3y = 55
40 + 3y = 55
3y = 55 - 40
3y = 15
y = 15/3
y = 5
(-) +(-) = - always add and put the negative sign. The answer is -9