What is the solution set of 2x−3=5 and 5x+3>−12
Let's solve each equation separately:
1) 2x - 3 = 5
First, let's isolate the variable x.
Adding 3 to both sides, we have:
2x = 8
Next, dividing both sides by 2:
x = 4
Therefore, the solution for the first equation is x = 4.
2) 5x + 3 > -12
Let's isolate x once again. Subtracting 3 from both sides:
5x > -15
Lastly, dividing both sides by 5:
x > -3
Therefore, the solution for the second equation is x > -3.
To find the solution set for the system of equations, we look for the values of x that satisfy both equations simultaneouly. In this case, x = 4 satisfies both equations.
Therefore, the solution set for the system is {4}.