SOLUTION: Solve using either elimination or substitution. Show your work. If the system has either no solution or an infinite number of solutions, state this. 7x - 2y = 24 5x + 4y = 28

Algebra ->  Test -> SOLUTION: Solve using either elimination or substitution. Show your work. If the system has either no solution or an infinite number of solutions, state this. 7x - 2y = 24 5x + 4y = 28      Log On


   

Question 229564: Solve using either elimination or substitution. Show your work. If the system has either no solution or an infinite number of solutions, state this.
7x - 2y = 24
5x + 4y = 28
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Solve using either elimination or substitution. Show your work. If the system has either no solution or an infinite number of solutions, state this.
7x - 2y = 24
5x + 4y = 28

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++7%5Cx+%2B+-2%5Cy+=+24%2C%0D%0A++++5%5Cx+%2B+4%5Cy+=+28+%29%0D%0A++We'll use substitution. After moving -2*y to the right, we get:
7%2Ax+=+24+-+-2%2Ay, or x+=+24%2F7+-+-2%2Ay%2F7. Substitute that
into another equation:
5%2A%2824%2F7+-+-2%2Ay%2F7%29+%2B+4%5Cy+=+28 and simplify: So, we know that y=2. Since x+=+24%2F7+-+-2%2Ay%2F7, x=4.

Answer: system%28+x=4%2C+y=2+%29.



I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J