1. -2v-7=-23
A: 15
B: 8
C:-8
D:-15
2.) x\3 -10=-12
A:-6
B:-66
C:6
D:66
3.) x\5+6=10
A:44
B:30
C:20
D:-20
Someone will check your answers.
for these, the first step is to get all the x stuff on the left by itself by adding or subtracting. Then multiply or divide by x's coefficient so that you are left with just x:
x/5+6=10
subtract 6: x/5 = 4
multiply by 5: x = 4*5 = 20
To solve the given equations, we will follow a step-by-step procedure called "isolating the variable."
1. -2v-7=-23:
Step 1: Add 7 to both sides of the equation to eliminate the constant term on the left side:
-2v-7+7=-23+7 => -2v=-16
Step 2: Divide both sides of the equation by -2 to isolate the variable v:
(-2v) / -2 = (-16) / -2 => v = 8
Therefore, the answer to the equation -2v-7=-23 is v = 8, making option B: 8 the correct answer.
2. x/3 - 10 = -12:
Step 1: Add 10 to both sides of the equation to eliminate the constant term on the left side:
x/3 - 10 + 10 = -12 + 10 => x/3 = -2
Step 2: Multiply both sides of the equation by 3 to isolate the variable x:
(x/3) * 3 = (-2) * 3 => x = -6
Therefore, the answer to the equation x/3 - 10 = -12 is x = -6, making option A: -6 the correct answer.
3. x/5 + 6 = 10:
Step 1: Subtract 6 from both sides of the equation to eliminate the constant term on the right side:
x/5 + 6 - 6 = 10 - 6 => x/5 = 4
Step 2: Multiply both sides of the equation by 5 to isolate the variable x:
(x/5) * 5 = 4 * 5 => x = 20
Therefore, the answer to the equation x/5 + 6 = 10 is x = 20, making option C: 20 the correct answer.