To determine if (8,10) is a solution to the system of equations, we can substitute the values x=8 and y=10 into both equations.
For the first equation:
19(8) - 14(10) = 152 - 140 = 12
The result is 12, which matches the right-hand side of the equation. Therefore, (8,10) satisfies the first equation.
For the second equation:
11(8) - 10(10) = 88 - 100 = -12
The result is -12, which does not match the right-hand side of the equation. Therefore, (8,10) does not satisfy the second equation.
Since (8,10) does not satisfy the second equation, it is not a solution to the system of equations.
Is (8,10) a solution to this system of equations?
19x–14y=12
11x–10y=
–
12
1 answer