Is (–3,8) a solution to this system of equations?
14x+7y=14
20x+10y=20
To determine if (–3,8) is a solution to the system of equations, we can substitute the x and y values into each equation and see if the equation holds true.
For the first equation, let's substitute x = -3 and y = 8:
14(-3)+7(8) = -42 + 56 = 14
The equation holds true.
For the second equation, let's substitute x = -3 and y = 8:
20(-3)+10(8) = -60 + 80 = 20
The equation holds true.
Since (–3,8) satisfies each equation in the system, it is indeed a solution.