Solve both equations for one variable. I'll solve for y.
9x - y = 5 Subtract 9x from both sides -y = -9x + 5 Divide both sides by -1 y = 9x - 5
7x - 6y = 5 Subtract 7x from both sides -6y = -7x + 5 Divide both sides by -6 y = [tex] \frac{7}{6} [/tex]x - [tex] \frac{5}{6} [/tex]
Since both equations equal y, you can set them equal to each other and solve for x.
9x - 5 = [tex] \frac{7}{6} [/tex]x - [tex] \frac{5}{6} [/tex] Multiply both sides by 6 to eliminate the fractions 54x - 30 = 7x - 5 Subtract 7x from both sides 47x - 30 = -5 Add 30 to both sides 47x = 25 Divide both sides by 47 x = [tex] \frac{25}{47} [/tex]
Now, plug that x-value into the x of either equation. I'll plug it into 9x - y = 5.
9x - y = 5 Plug in the x-value 9([tex] \frac{25}{47} [/tex]) - y = 5 Multiply [tex] \frac{225}{47} [/tex] - y = 5 Subtract [tex] \frac{225}{47} [/tex] from both sides -y = 0.21276595744 (I had to convert it to a decimal) Divide both sides by -1 y = -0.21276595744
So, the answer to the system is (0.53191489361, -0.21276595744)
