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Assoli18 [71]
2 years ago
10

Given: c(x) = 2x – 6 Find c(x) = 18

Mathematics
2 answers:
Alex2 years ago
4 0
18 = 2x -6 (Subtract 18 on both sides then subtract 2)
-2x = -6 -18
-6 -18 is = -24 (you add negative numbers together)
-2x = -24 (divide both numbers by -2)

X = 12
Ivanshal [37]2 years ago
4 0

Answer:

18

X = ---- , y = 12

c

Step-by-step explanation:

Solve for x, y

X = 18

__

c

Y = 12, c ≠ 0

Consider the first equation. Subtract 2y from both sides.

cx - 2y = -6

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

cx = 18, cx - 2y = -6

Pick one of the two equations which is more simple to solve for x by isolating x on the left hand side of the equal sign.

cx = 18

Divide both sides by c.

18

X = __

c

Substitute 18/c for x in the other equation,

c x - 2y = - 6.

18

c x ( ---- ) - 2y = - 6

c

18

Multiply c times ----

c

18 - 2y = - 24

Subtract 18 from both sides of the equation.

- 2y = - 24

Divide both sides by -2.

y = 12

The system is now solved.

18

X = ---- , y = 12

C

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Why is the point ( 3, 4 ) the solution to this system of equations?<br> y= 1/3x + 3<br> y= 2x - 2
evablogger [386]

Answer:

The answer to your question is because it is a solution of each equation.

Step-by-step explanation:

Data

Point (3,4)

Equation l     y = 1/3x + 3

Equation ll     y = 2x - 2

Process

1.- To test is a point is solution to a system of equations,

-Substitute the point in both equations

Equation l            4 = 1/3(3) + 3

                            4 = 1 + 3

                            4 = 4               The point is a solution because

                                                     4 = 4

Equation ll            4 = 2(3) - 2

                             4 = 6 - 2

                             4 = 4               This point is a solution for the second

                                                     equation but not for the first one.

2.- Conclusion

As the point is a solution of each equation, it is a solution of the system.

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