Step-by-step explanation:
Step 1: Substitute x from the second equation into the second one
[tex]2x - 9y = 14[/tex]
[tex]2(-6y + 7) - 9y = 14[/tex]
[tex](2 * -6y) + (2 * 7) - 9y = 14[/tex]
[tex]-12y + 14 - 9y = 14[/tex]
[tex]-21y +14 - 14 = 14 - 14[/tex]
[tex]-21y/-21 = 0 / -21[/tex]
[tex]y = 0[/tex]
Step 2: Substitute y into the second equation
[tex]x = -6y + 7[/tex]
[tex]x = -6(0) + 7[/tex]
[tex]x = 0 + 7[/tex]
[tex]x = 7[/tex]
Answer: [tex]x = 7, y = 0[/tex]
