I need help figuring out these two questions on euations with integers.
-5x+20=-60
2x-3=-2
thank you so much
for first:
subtract 20 from both sides, simplify, then divide both sides by -5
for second:
add 3 to both sides, simplify, then divided both sides by 2
Certainly! Let's solve each equation step by step.
First Equation: -5x + 20 = -60
Step 1: To isolate the variable, we need to get rid of the constant term on one side of the equation. In this case, we'll subtract 20 from both sides:
-5x + 20 - 20 = -60 - 20
-5x = -80
Step 2: Now, let's simplify by dividing both sides of the equation by -5:
(-5x) / -5 = (-80) / -5
x = 16
So, the solution to the first equation is x = 16.
Second Equation: 2x - 3 = -2
Step 1: Similarly, let's isolate the variable by getting rid of the constant term. We'll add 3 to both sides:
2x - 3 + 3 = -2 + 3
2x = 1
Step 2: To find the value of x, divide both sides of the equation by 2:
(2x) / 2 = 1 / 2
x = 0.5
Hence, the solution to the second equation is x = 0.5.
To solve both equations, you need to perform these operations in the correct order. In the first equation, you subtract 20 from both sides and then divide by -5. In the second equation, you add 3 to both sides and then divide by 2. These steps ensure that you isolate the variable on one side and simplify each side of the equation to find the value of x.