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Brilliant_brown [7]
3 years ago
13

Solve the following equation for y.

Mathematics
2 answers:
Oksanka [162]3 years ago
5 0
12x = 6y - 18
12x + 18 = 6y

y = 2x + 3
castortr0y [4]3 years ago
3 0
12x = 6y - 18....solving for y......add 18 to both sides
12x + 18 = 6y....divide both sides by 6
12/6x + 18/6 = 6/6y...simplify
2x + 3 = y

solution : y = 2x + 3
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Answer with explanation:

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3 years ago
Which represents the solution(s) of the system of equations, y + 4 = x2 and y-x=2? Determine the solution set by
Sergeu [11.5K]

Answer:

The points (-2, 0) and (3,5) are the ONLY solutions of the given sets of equations.

Step-by-step explanation:

Here, the given equations are: y + 4 = x^{2}  , y -x = 2

Now checking for the given points:

(a) (-2, 0)

Here, y + 4 = 0 + 4 = 4 =   (-2)^{2}  =  x^{2} \\y- x = 0 -(-2) = 2  = RHS

Hence,  (-2, 0) is the solution of the given equations.

b) Checking for (2,0), as (-2, 0) is a solution as shown above

Here, y + 4 = 0 + 4 = 4 =   (2)^{2}  =  x^{2} \\y- x = 0 +  (-2) = -2  \neq 2(RHS)

Hence,  (2, 0) is NOT the solution of the given equations.

c) Checking for (3,5), as (-2, 0) is a solution as shown above

Here, y + 4 = 5 + 4 = 9 =   (3)^{2}  =  x^{2} \\y- x = 5 -3 = 2 -  (RHS)

Hence,   (3,5), is the solution of the given equations.

Hence, the points (-2, 0) and (3,5) are the ONLY solutions of the given sets of equations.

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Answer:

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Step-by-step explanation:

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Combine like terms

72 + 2y = 180

Subtract 72 from each side

72-72 +2y = 180-72

2y = 108

Divide each side by 2

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Answer:

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Step-by-step explanation:

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