Isolating x in the second equation, the expression that would be replaced into the first equation to solve the system of equations is given as follows:
b. -3y + 12.
How to solve the system of equations?The system of equations for this problem, with variables x and y, is defined as follows:
2x + y = 8.-x - 3y = -12.The second equation of the system is given as follows:
-x - 3y = -12.
The first step to isolate x is move the -3y term to the opposite side of the equality, with an addition symbol, which is the inverse of the negative symbol, hence:
-x = 3y - 12.
As the leading coefficient of x is negative, the entire expression must be multiplied by -1, hence:
x = 12 - 3y.
x = -3y + 12(commutative property).
Meaning that the correct option is given by option b.
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Answer: (b) -3y + 12.
To use the Substitution Method, we would isolate x in the second equation, which gives:
-x = 3y - 12
Multiplying both sides by -1, we get:
x = -3y + 12
We can then substitute this expression for x into the first equation, which gives:
2(-3y + 12) + y = 8
Simplifying this expression, we get:
-5y + 24 = 8
Subtracting 24 from both sides, we get:
-5y = -16
Finally, dividing both sides by -5, we get:
y = 16/5
Therefore, if we isolate x in the second equation, we would substitute x = -3y + 12 into the first equation.
So the expression we would substitute into the first equation is -3y + 12.
Please I need help with this?
9514 1404 393
Answer:
(a) positive and increasing
Step-by-step explanation:
Point c is on the x-axis, and point d is above it. The curve between points c and d is positive and increasing.
3/10 divided by 2/5?
Answer:
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Step-by-step explanation:
Fill in the blanks
A
integers.
is an algebraic expression that contains a variable to the power of one.
is an example.
is a rational number that is multiplied by a variable. A
is a number that can be written as the ratio, or fraction of two
in the expression is an example of a coefficient
are terms whose variables and their exponents are the same. One example is
and -7y.
2y
Like-terms
4
6x+5
linear-expression
4z
rational-coefficient
rational-number
Answer:
Step-by-step explanation:
okay here’s the answers in order
Linear-expression
6x+5
rational coefficient
rational-number
4
4z
Like-terms
2y
HELP DUE IN 10 MINS!!!
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The hotdog stand at a baseball game sells hotdogs for $3.50 each. The amount, D dollars, Mr. Moore paid for the hotdogs is directly proportional to the number of hotdogs, H, he buys. Identify the constant of proportionality and write a direc
Answer:
D α H
k = D/H
k = 3.50
Step-by-step explanation:
Amount paid, D is directly proportional to the number of hotdogs, H
D = $3.50 per hot dog
D = $3.50 is directly proportional to 1 hotdog
Hence,
D α H
D = kH
k = proportionality constant
H = 1
3.50 = k
k = 3.50
k = D/H
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Answer:
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A)
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B)
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
73 x 4 + 13 is 305
Answer:
305
explaination:
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Pls help I really need this
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Need help ASAP pls help
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Proof that 1^√2 = 1 is true
Answer:
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Step-by-step explanation:
Step-by-step explanation:
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B (4, 7)
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30 people liked Brand X. This is 20% of the people in a survey.
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:)
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1 pts
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Answer:
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Step-by-step explanation:
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