An equation consists of two mathematical expressions separated by an equals sign. The expressions may or may not contain variables. Two examples of equations are shown below:
An equation is true if the expression to the left side of the equals sign is equal to the expression on the right side. Otherwise, if the left side is not equal to the right side, then the equation is false. For instance,
the equation is true, whereas
the equation is false.
As a result, the equation
is true only if We say that is the solution to the equation
If then what is the value of
If we substitute into the given equation, we get a true statement:
Therefore, the solution is
If $13 + x = 16,$ then $x=$
a
|
$-3$ |
b
|
$3$ |
c
|
$1$ |
d
|
$10$ |
e
|
$6$ |
If $3 + x = -4$, then $x=$
a
|
$-3$ |
b
|
$1$ |
c
|
$-7$ |
d
|
$3$ |
e
|
$7$ |
What is the solution to the equation
If we substitute into the given equation, we get a true statement:
Therefore, the solution is
If $y - 5 = 2,$ then $y=$
a
|
$5$ |
b
|
$8$ |
c
|
$2$ |
d
|
$6$ |
e
|
$7$ |
If $12 - y = 4,$ then $y=$
a
|
$4$ |
b
|
$8$ |
c
|
$0$ |
d
|
$12$ |
e
|
$1$ |
If then
If we substitute into the given equation, we get a true statement:
Therefore, the solution is
If $3r = 12,$ then $r=$
a
|
$1$ |
b
|
$-4$ |
c
|
$4$ |
d
|
$2$ |
e
|
$3$ |
If $-3x = -12,$ then $x=$
a
|
$3$ |
b
|
$4$ |
c
|
$-6$ |
d
|
$-3$ |
e
|
$-4$ |
If $3z= -24,$ then $z=$
a
|
$8$ |
b
|
$-8$ |
c
|
$-9$ |
d
|
$-6$ |
e
|
$6$ |
If then
If we substitute into the given equation, we get a true statement:
Therefore, the solution is
If $\dfrac{m}{4} = 5,$ then $m=$
a
|
$5$ |
b
|
$-5$ |
c
|
$20$ |
d
|
$10$ |
e
|
$-20$ |
If $\dfrac{t}{5} = -6,$ then $t=$
a
|
$t=35$ |
b
|
$t=-6$ |
c
|
$t=-5$ |
d
|
$t=30$ |
e
|
$t=-30$ |