Answer:
(1,2)
Step-by-step explanation:
Eliminate y-term
[tex](x + 2x) + (4y - 4y) = 9 - 6 \\ 3x = 3 \\ x = \frac{3}{3} \\ x = 1[/tex]
Substitute x = 1 in any given equations.
I choose to substitute in the first equation.
[tex]x + 4y = 9 \\ 1 + 4y = 9 \\ 4y = 9 - 1 \\ 4y = 8 \\ y = \frac{8}{4} \\ y = 2[/tex]
Answer Check
Substitute both x-value and y-value in any given equations.
[tex]x + 4y = 9 \\ 1 + 4(2) = 9 \\ 1 + 8 = 9 \\ 9 = 9[/tex]
The first equation is true. However, we have to check the second equation as well. (Although the first true equarion has already raised the high possibility of right answer.)
[tex]2x - 4y = - 6 \\ 2(1) - 4(2) = - 6 \\ 2 - 8 = - 6 \\ - 6 = - 6[/tex]
Both equations are true for (1,2). Thus the answer is (1,2)