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6x + 2y = 25.92 4x + 3y = 33.93 Solve for x and y

User Secretwep
by
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2 Answers

5 votes

Final answer:

To solve the system of equations 6x + 2y = 25.92 and 4x + 3y = 33.93, you can use the elimination method. Multiplying the first equation by 3 and the second equation by 2, you can eliminate the y variable. Simplifying the resulting equation, you can solve for x. Then, substituting the value of x into one of the original equations, you can solve for y.

Step-by-step explanation:

To solve the system of equations:

6x + 2y = 25.92

4x + 3y = 33.93

We can use either the substitution method or the elimination method. Let's use the elimination method to solve for x and y.

Multiplying the first equation by 3 and the second equation by 2, we get:

18x + 6y = 77.76

8x + 6y = 67.86

Subtracting the second equation from the first equation, we get:

10x = 9.90

Dividing both sides by 10, we find that x = 0.99.

Substituting this value of x into one of the original equations, we can solve for y:

6(0.99) + 2y = 25.92

5.94 + 2y = 25.92

2y = 19.98

y = 9.99.

Therefore, the solution to the system of equations is x = 0.99 and y = 9.99.

User Rob Cowell
by
8.4k points
6 votes

Answer:

y = -3x + 12.96

y =
(-4)/(3) x + 11.31

Step-by-step explanation:

6x + 2y = 25.92 Subtract 6x from both sides

2y = -6x + 25.92 Divide all the way through by 2

y = -3x + 12.96

4x + 3y = 33.93 Subtract 4x from both sides

3y = -4x + 33.93 Divide all the way through by 3

y =
(-4)/(3) x + 11.31

User Cointreau
by
7.8k points