Answer:
0 ≠ 110
No solution
Explanation:
Solve by Addition/Elimination
12y = 17 − 9x and −4y − 3x = 31
Reorder 17 and −9x. 12y = −9x + 17
−4y − 3x = 31
Add 9x to both sides of the equation.
12y + 9x = 17
−4y − 3x = 31
Reorder the polynomial.
9x + 12y = 17
−4y − 3x = 31
Reorder the polynomial.
9x + 12y = 17
−3x − 4y = 31 9x + 12y = 17
Multiply each equation by the value that makes the coefficients of x opposite.
9x + 12y = 17
(3) ⋅ (−3x − 4y) = (3) (31)
Simplify (3) ⋅ (−3x − 4y).
Apply the distributive property.
9x + 12y = 17
3 (−3x) + 3 (−4y) = (3) (31)
Multiply −3 by 3. 9x + 12y = 17
−9x + 3 (−4y) = (3) (31)
Multiply −4 by 3. 9x + 12y = 17
−9x − 12y = (3) (31)
Multiply 3 by 31. 9x + 12y = 17
−9x − 12y = 93
Add the two equations together to eliminate x from the system.
9x+12y=17
+−9x−12y=93
0=110
Since 0 ≠ 110, there are no solutions. No solution