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Solve the system of equations:

5x+y=9
3x+2y=4

a) (−2, 5)
b) (1, 4)
c) (2,−1)
d) (4,−4)

User MikeeMike
by
8.0k points

1 Answer

3 votes

Final answer:

To solve the system of equations, we can use the elimination method. After performing the necessary steps, the solution is (1, 4).

Step-by-step explanation:

To solve the system of equations:

5x + y = 9

3x + 2y = 4

We can use the elimination method:

  1. Multiply the first equation by 2 to make the coefficients of y in both equations the same.
  2. Subtract the second equation from the first equation to eliminate y.
  3. Solve the resulting equation for x.
  4. Substitute the value of x back into one of the original equations to solve for y.

By following these steps, we find that the solution to the system of equations is (1, 4).

User Soojoo
by
7.6k points

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