Question

for each of the following, determine if the given value is a solution to the equation.
a. is ( x = 4 ) a solution to ( x - 1 = 5 )? select an answer
b. is ( x = -2 ) a solution to ( x + 4 = 2 )? select an answer
c. is ( a = -3 ) a solution to ( 9 = 6 - a )? select an answer
d. is ( x = 2 ) a solution to ( 11 = 13 + x )? select an answer
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Explanation:

Step1: Substitute x=4 into equation

Substitute $x=4$ into $x-1=5$:
$4-1=3$

Step2: Compare to right-hand side

$3
eq 5$, so $x=4$ is not a solution.

Step3: Substitute x=-2 into equation

Substitute $x=-2$ into $x+4=2$:
$-2+4=2$

Step4: Compare to right-hand side

$2 = 2$, so $x=-2$ is a solution.

Step5: Substitute a=-3 into equation

Substitute $a=-3$ into $9=6-a$:
$6-(-3)=6+3=9$

Step6: Compare to left-hand side

$9 = 9$, so $a=-3$ is a solution.

Step7: Substitute x=2 into equation

Substitute $x=2$ into $11=13+x$:
$13+2=15$

Step8: Compare to left-hand side

$15
eq 11$, so $x=2$ is not a solution.

Answer:

a. No
b. Yes
c. Yes
d. No