Answer:
(5,-5)
Step-by-step explanation:
Eliminate y-term
[tex](2x + 5x) + ( - 3y + 3y) = 25 + 10 \\ 7x = 35 \\ x = \frac{35}{7} \\ x = 5[/tex]
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.
[tex]2x - 3y = 25 \\ 2(5) - 3y = 25 \\ 10 - 3y = 25 \\ 10 - 25 = 3y \\ - 1 5 = 3y \\ 3y = - 15 \\ y = - 5[/tex]
Answer Check
Substitute both x-value and y-value in any given equations
[tex]2x - 3y = 25 \\ 2(5) - 3( - 5) = 25 \\ 10 + 15 = 25 \\ 25 = 25[/tex]
The equation is true. (It is better to check both the answer for both equation.)
Thus the answer is (5,-5)
