Two equations are given below:a − 3b = 4
a = b − 2
What is the solution to the set of equations in the form (a, b)?
(−2, −2)
(−3, −1)
(−9, −7)
(−5, −3)
Answers
The solution to the set of equations in the form (a, b) is (-5, -3).
Hence, 4th option is the right choice.
What are simultaneous equations?
A system of equations, also known as an equation system or a set of simultaneous equations, is a finite collection of equations for which common solutions are found.
How do we solve the given question?
We are given two equations in a and b and are asked to find the solution to them. The equations are:
a - 3b = 4 . . . . . . . . . . . . . . (1)
a = b - 2 . . . . . . . . . . . . . . (2)
We substitute the value of a = b - 2 from (2) in (1) to get,
(b - 2) -3b = 4
or, b - 2 - 3b = 4.
or, b -2 - 3b + 2 = 4 + 2 (adding 2 two both sides of the equation)
or, -2b = 6 (simplifying)
or, -2b/(-2) = 6/(-2) (dividing both sides by -2)
or, b = -3 (simplifying)
Now, we substitute this value of b = -3, in (2) to get
a = (-3) - 2
or, a = -5.
∴ (a, b) = (-5, -3)
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Let's substitute b-2 into the first equation wherever there is an a.
a - 3b = 4
(b-2) - 3b = 4
b - 2 - 3b = 4
-2 - 2b = 4
-2b = 6
b = -3
Now let's find a by substituting -3 into either of the equations to find the value of a.
a = b - 2
a = -3 - 2
a = -5
So your solution set is (-5, -3)
Related Questions
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With the 20% off coupon, Alexis received a discount of $15 on her shoes. What was the regular price of her shoes before the 20% off coupon was applied? Justify your answer using equations, models, and/or words to explain your mathematical reasoning.Please answer so a middle school kid can understand
6+2(5-3a)=2a(2+8).....
PLEASE HELP ME!!!!!!!!! I'LL MARK YOU BRAINLIEST IF YOU ANSWER THESE CORRECTLY!Find the value of x
Answers
use the 7 to reduce each numer of the fraction
PLEASE GIVE THE STEPS AND THE ANSWER
Answers
Answer: -3x+13
Step-by-step explanation: Combine like terms (-4x + x) and (5 + 8)
-4x + x = -3x
5 + 8 = 13
Hope this helps! If it doesn't, I'm sorry!
Answers
N=0
If the question is 2/3=2+N/3
N=-4
Answers
Can you find a number that goes into both terms, 5k and 35 ?
How about 5 ?
(5k - 35) = 5 times (k - 7) .
Answers
The domain is x = 1, 2, 3, 4, 5...... ∈ R (set of real number).
Range: (0,∞)
Asymptote: y=0.
What is Domain, Range and Asymptote?
The range of a function is the set of output values for the dependent variable.
The range, however, is bounded by the horizontal asymptote of the graph of f(x).
A straightline that continuously approaches a certain curve without ever meeting it is an asymptote.
Given:
h(x) = 6x – 4
Now, the domain is the input value as
x = 1, 2, 3, 4, 5...... ∈ R (set of real number)
So, h(1) = 6-4 =2
and, h(2) = 12-4 = 8
and, the range is (0,∞)
Now, the asymptote h(x)= 0
6x-4 = 0
x= 2/3.
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If the former, the domain is all real numbers, often denoted by the symbol R.
the range is (0,∞)
asymptote is y = 0
the extra amount added to the cost price to arrive at the selling price
the extra amount added to the marginal cost to arrive at the selling price
Answers
Answer: Second option is correct.
Step-by-step explanation:
Markup is the extra amount added to the cost price to arrive at the selling price.
As in retail market , cost price is always marked up by the retailers to make some profit and cover overhead expenses.
So, Markup is that amount that is added to the cost price.
Discount is also given to that amount only, to increase his goodwill.
Hence, Second option is correct.