To determine which equation has a solution of -7, we can substitute -7 for each variable in the equation and solve for the left side and right side to be equal.
a) −3x−8=−29
Substituting -7 for x:
−3(-7)−8=−29
21-8=-29
13≠-29
b) 4x−23=5
Substituting -7 for x:
4(-7)-23=5
-28-23=5
-51≠5
c) 5x+11=−24
Substituting -7 for x:
5(-7)+11=-24
-35+11=-24
-24=-24
This equation is true, so the solution is -7.
d) −x+3=−4
Substituting -7 for x:
-(-7)+3=-4
7+3=-4
10≠-4
Therefore, the equation 5x+11=−24 has a solution of −7.
Which of the following equations has a solution of −7?(1 point) Responses −3x−8=−29 negative 3 x minus 8 equals negative 29 4x−23=5 4 x minus 23 equals 5 5x+11=−24 5 x plus 11 equals negative 24 −x+3=−4 negative x plus 3 equals negative 4
7 answers
Which of the following equations has a solution different from the rest? (1 point) Responses 34x+5=−14 Start Fraction 3 over 4 End Fraction x plus 5 equals negative Start Fraction 1 over 4 End Fraction −17x−34=14 negative Start Fraction 1 over 7 End Fraction x minus Start Fraction 3 over 4 End Fraction equals Start Fraction 1 over 4 End Fraction 12x−3=12 Start Fraction 1 over 2 End Fraction x minus 3 equals Start Fraction 1 over 2 End Fraction −0.35x−0.52=1.93 negative 0.35 x minus 0.52 equals 1.93
To determine which equation has a solution different from the rest, we can substitute any value for x in each equation and check if the left side and right side are equal.
a) 34x+5=−14
Substituting x=0:
34(0)+5=-14
5≠-14
b) (3/4)x+5=-1/4
Substituting x=0:
(3/4)(0)+5=-1/4
5≠-1/4
c) −17x−34=14
Substituting x=0:
−17(0)-34=14
-34≠14
d) (1/7)x-(3/4)=1/4
Substituting x=0:
(1/7)(0)-(3/4)=1/4
-3/4≠1/4
e) 12x−3=12
Substituting x=0:
12(0)-3=12
-3≠12
f) (1/2)x-3=1/2
Substituting x=0:
(1/2)(0)-3=1/2
-3≠1/2
g) −0.35x−0.52=1.93
Substituting x=0:
−0.35(0)-0.52=1.93
-0.52≠1.93
None of the equations have a solution different from the rest. All solutions are different from each other.
a) 34x+5=−14
Substituting x=0:
34(0)+5=-14
5≠-14
b) (3/4)x+5=-1/4
Substituting x=0:
(3/4)(0)+5=-1/4
5≠-1/4
c) −17x−34=14
Substituting x=0:
−17(0)-34=14
-34≠14
d) (1/7)x-(3/4)=1/4
Substituting x=0:
(1/7)(0)-(3/4)=1/4
-3/4≠1/4
e) 12x−3=12
Substituting x=0:
12(0)-3=12
-3≠12
f) (1/2)x-3=1/2
Substituting x=0:
(1/2)(0)-3=1/2
-3≠1/2
g) −0.35x−0.52=1.93
Substituting x=0:
−0.35(0)-0.52=1.93
-0.52≠1.93
None of the equations have a solution different from the rest. All solutions are different from each other.
Only choose one answer. This is a test question that cannot be unanswered.
My apologies for the confusion. Based on the information provided, the equation that has a solution different from the rest is:
c) −17x−34=14
This equation has a different solution than the other equations.
c) −17x−34=14
This equation has a different solution than the other equations.
-1/7x-3/4=1/4
To find the solution for the equation, we need to isolate the variable x.
Starting with the equation:
-1/7x - 3/4 = 1/4
First, we can simplify by multiplying every term by the least common denominator, which is 28 in this case, to eliminate the fractions.
-1/7 * 28 * x - 3/4 * 28 = 1/4 * 28
This simplifies to:
-4x - 21 = 7
To isolate the variable x, we can add 21 to both sides of the equation:
-4x - 21 + 21 = 7 + 21
This simplifies to:
-4x = 28
Next, divide both sides of the equation by -4 to solve for x:
-4x / -4 = 28 / -4
This simplifies to:
x = -7
Therefore, the equation -1/7x - 3/4 = 1/4 has a solution of x = -7.
Starting with the equation:
-1/7x - 3/4 = 1/4
First, we can simplify by multiplying every term by the least common denominator, which is 28 in this case, to eliminate the fractions.
-1/7 * 28 * x - 3/4 * 28 = 1/4 * 28
This simplifies to:
-4x - 21 = 7
To isolate the variable x, we can add 21 to both sides of the equation:
-4x - 21 + 21 = 7 + 21
This simplifies to:
-4x = 28
Next, divide both sides of the equation by -4 to solve for x:
-4x / -4 = 28 / -4
This simplifies to:
x = -7
Therefore, the equation -1/7x - 3/4 = 1/4 has a solution of x = -7.