Question

Help with system of equations?

Answer 1

what do you mean?

Answer 2

Im studying for finals!
A system of equations is shown below:
8x + 5y = 9 3x + 2y = 4

Part A: Create an equivalent system of equations by replacing one equation with the sum of that equation and a multiple of the other. Show the steps to do this.

Part B: Show that the equivalent system has the same solution as the original system of equations.

Answer 3

Is that one whole equation, or two separate equations?

Answer 4

@heyitme

Answer 5

Two-
8x + 5y = 9
3x + 2y = 4

Answer 6

To eliminate the y values, multiply the first equation by 2 and the second equation by -5. Then you get:
16x + 10y = 18
-15x - 10y = -20

Next, add the equations:

16x -15x +10y -10y = 18 -20 ==> x = -2

Finally, substitute x = -2 into either of the original equations to find y:

16(-2) + 10y = 18 ==> -32 + 10y -= 18 ==> 10y = 50 ==> y = 5

Thus, your answer would be (-2, 5).