Question

Answers for the 2 boxes please:)​

Answer 1

(5,-5)

Explanation:

Eliminate y-term

`(2x + 5x) + ( - 3y + 3y) = 25 + 10 \\ 7x = 35 \\ x = (35)/(7) \\ x = 5`

We can eliminate x-term but for this system of equations, eliminating y-term is faster.

Substitute x = 5 in any given equations.

I will choose to substitute in the first equation.

`2x - 3y = 25 \\ 2(5) - 3y = 25 \\ 10 - 3y = 25 \\ 10 - 25 = 3y \\ - 1 5 = 3y \\ 3y = - 15 \\ y = - 5`

Answer Check

Substitute both x-value and y-value in any given equations

`2x - 3y = 25 \\ 2(5) - 3( - 5) = 25 \\ 10 + 15 = 25 \\ 25 = 25`

The equation is true. (It is better to check both the answer for both equation.)

Thus the answer is (5,-5)