Which x satisfies an equation?
Key notes:
A solution to an equation is a value of a variable that makes the equation true.
Learn with an example
➡️ What value of t is a solution to this equation?
t + 8 = 14
- t=6
- t=7
To find the solution, substitute each value of t into the equation:
t+8=14
Substitute the value t=6 into the equation.
t+8=14
6+8=14
14=14
The value t=6 makes this equation true. So, t=6 is the solution.
Substitute the value t=7 into the equation.
t+8=14
7+8=14
15=14
The value t=7 makes this equation false. So, t=7 is not a solution.
➡️ What value of r is a solution to this equation?
r – 4 = 7
- r=9
- r=11
To find the solution, substitute each value of r into the equation:
r–4=7
Substitute the value r=9 into the equation.
r–4=7
9–4=7
5=7
The value r=9 makes this equation false. So, r=9 is not a solution.
Substitute the value r=11 into the equation.
r–4=7
11–4=7
7=7
The value r=11 makes this equation true. So, r=11 is the solution.
➡️ What value of x is a solution to this equation?
x + 8 = 20
- x=11
- x=12
To find the solution, substitute each value of x into the equation:
x+8=20
Substitute the value x=11 into the equation.
x+8=20
11+8=20
19=20
The value x=11 makes this equation false. So, x=11 is not a solution.
Substitute the value x=12 into the equation.
x+8=20
12+8=20
20=20
The value x=12 makes this equation true. So, x=12 is the solution.
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